Physics Review 2009

Terms - Measurements time elapsed = duration of an event – there is a beginning, a middle, and an end to any event. distance = path length displacement = change in position mass = measure of inertia or resistance to change in state of motion

Terms - Measurements time elapsed = duration of an event – there is a beginning, a middle, and an end to any event. distance = path length displacement = change in position mass = measure of inertia or resistance to change in state of motion

Terms - Measurements time elapsed = duration of an event – there is a beginning, a middle, and an end to any event. distance = path length displacement = change in position mass = measure of inertia or resistance to change in state of motion

Terms - Measurements time elapsed = duration of an event – there is a beginning, a middle, and an end to any event. distance = path length displacement = change in position mass = measure of inertia or resistance to change in state of motion

Terms - Measurements time elapsed = duration of an event – there is a beginning, a middle, and an end to any event. distance = path length displacement = change in position mass = measure of inertia or resistance to change in state of motion

Terms - Measurements time elapsed = duration of an event – there is a beginning, a middle, and an end to any event. distance = path length displacement = change in position mass = measure of inertia or resistance to change in state of motion

Terms - Measurements time elapsed = duration of an event – there is a beginning, a middle, and an end to any event. distance = path length displacement = change in position mass = measure of inertia or resistance to change in state of motion

Terms - Measurements time elapsed = duration of an event – there is a beginning, a middle, and an end to any event. distance = path length displacement = change in position mass = measure of inertia or resistance to change in state of motion

Terms - Measurements time elapsed = duration of an event – there is a beginning, a middle, and an end to any event. distance = path length displacement = change in position mass = measure of inertia or resistance to change in state of motion

Calculated Values speed – distance as a function of time velocity – change in position as a function of time acceleration – change in velocity as a function of time centripetal acceleration – Quotient of the velocity squared and the distance from the center of rotation momentum – product of mass and velocity change in momentum = Impulse = change in the product of mass and velocity force = change in momentum per unit of time

Calculated Values speed – distance as a function of time velocity – change in position as a function of time acceleration – change in velocity as a function of time centripetal acceleration – Quotient of the velocity squared and the distance from the center of rotation momentum – product of mass and velocity change in momentum = Impulse = change in the product of mass and velocity force = change in momentum per unit of time

Calculated Values speed – distance as a function of time velocity – change in position as a function of time acceleration – change in velocity as a function of time centripetal acceleration – Quotient of the velocity squared and the distance from the center of rotation momentum – product of mass and velocity change in momentum = Impulse = change in the product of mass and velocity force = change in momentum per unit of time

Calculated Values speed – distance as a function of time velocity – change in position as a function of time acceleration – change in velocity as a function of time centripetal acceleration – Quotient of the velocity squared and the distance from the center of rotation momentum – product of mass and velocity change in momentum = Impulse = change in the product of mass and velocity force = change in momentum per unit of time

Calculated Values speed – distance as a function of time velocity – change in position as a function of time acceleration – change in velocity as a function of time centripetal acceleration – Quotient of the velocity squared and the distance from the center of rotation momentum – product of mass and velocity change in momentum = Impulse = change in the product of mass and velocity force = change in momentum per unit of time

Calculated Values speed – distance as a function of time velocity – change in position as a function of time acceleration – change in velocity as a function of time centripetal acceleration – Quotient of the velocity squared and the distance from the center of rotation momentum – product of mass and velocity change in momentum = Impulse = change in the product of mass and velocity force = change in momentum per unit of time

Calculated Values speed – distance as a function of time velocity – change in position as a function of time acceleration – change in velocity as a function of time centripetal acceleration – Quotient of the velocity squared and the distance from the center of rotation momentum – product of mass and velocity change in momentum = Impulse = change in the product of mass and velocity force = change in momentum per unit of time

Calculated Values speed – distance as a function of time velocity – change in position as a function of time acceleration – change in velocity as a function of time centripetal acceleration – Quotient of the velocity squared and the distance from the center of rotation momentum – product of mass and velocity change in momentum = Impulse = change in the product of mass and velocity force = change in momentum per unit of time

Calculated Values speed – distance as a function of time velocity – change in position as a function of time acceleration – change in velocity as a function of time centripetal acceleration – Quotient of the velocity squared and the distance from the center of rotation momentum – product of mass and velocity change in momentum = Impulse = change in the product of mass and velocity force = change in momentum per unit of time

Calculated Values speed – distance as a function of time velocity – change in position as a function of time acceleration – change in velocity as a function of time centripetal acceleration – Quotient of the velocity squared and the distance from the center of rotation momentum – product of mass and velocity change in momentum = Impulse = change in the product of mass and velocity force = change in momentum per unit of time

Calculated Values speed – distance as a function of time velocity – change in position as a function of time acceleration – change in velocity as a function of time centripetal acceleration – Quotient of the velocity squared and the distance from the center of rotation momentum – product of mass and velocity change in momentum = Impulse = change in the product of mass and velocity force = change in momentum per unit of time

Calculated Values speed – distance as a function of time velocity – change in position as a function of time acceleration – change in velocity as a function of time centripetal acceleration – Quotient of the velocity squared and the distance from the center of rotation momentum – product of mass and velocity change in momentum = Impulse = change in the product of mass and velocity force = change in momentum per unit of time

Calculated Values speed – distance as a function of time velocity – change in position as a function of time acceleration – change in velocity as a function of time centripetal acceleration – Quotient of the velocity squared and the distance from the center of rotation momentum – product of mass and velocity change in momentum = Impulse = change in the product of mass and velocity force = change in momentum per unit of time

Calculated Values speed – distance as a function of time velocity – change in position as a function of time acceleration – change in velocity as a function of time centripetal acceleration – Quotient of the velocity squared and the distance from the center of rotation momentum – product of mass and velocity change in momentum = Impulse = change in the product of mass and velocity force = change in momentum per unit of time

Calculated Values speed – distance as a function of time velocity – change in position as a function of time acceleration – change in velocity as a function of time centripetal acceleration – Quotient of the velocity squared and the distance from the center of rotation momentum – product of mass and velocity change in momentum = Impulse = change in the product of mass and velocity force = change in momentum per unit of time

Calculated Values speed – distance as a function of time velocity – change in position as a function of time acceleration – change in velocity as a function of time centripetal acceleration – Quotient of the velocity squared and the distance from the center of rotation momentum – product of mass and velocity change in momentum = Impulse = change in the product of mass and velocity force = change in momentum per unit of time

Calculated Values speed – distance as a function of time velocity – change in position as a function of time acceleration – change in velocity as a function of time centripetal acceleration – Quotient of the velocity squared and the distance from the center of rotation momentum – product of mass and velocity change in momentum = Impulse = change in the product of mass and velocity force = change in momentum per unit of time

Calculated Values speed – distance as a function of time velocity – change in position as a function of time acceleration – change in velocity as a function of time centripetal acceleration – Quotient of the velocity squared and the distance from the center of rotation momentum – product of mass and velocity change in momentum = Impulse = change in the product of mass and velocity force = change in momentum per unit of time

Calculated Values speed – distance as a function of time velocity – change in position as a function of time acceleration – change in velocity as a function of time centripetal acceleration – Quotient of the velocity squared and the distance from the center of rotation momentum – product of mass and velocity change in momentum = Impulse = change in the product of mass and velocity force = change in momentum per unit of time

Calculated Values Weight = Force due to Gravity = product of mass and acceleration due to gravity Universal Gravitational Force is directly proportional to the universal gravitational constant, the mass of one object, the mass of another object and inversely proportional to the distance between the center of the objects squared work – product of parallel component of the force and distance the force is applied through Kinetic energy – product of ½ the mass and the velocity squared.

Calculated Values Weight = Force due to Gravity = product of mass and acceleration due to gravity Universal Gravitational Force is directly proportional to the universal gravitational constant, the mass of one object, the mass of another object and inversely proportional to the distance between the center of the objects squared work – product of parallel component of the force and distance the force is applied through Kinetic energy – product of ½ the mass and the velocity squared.

Calculated Values Weight = Force due to Gravity = product of massand acceleration due to gravity Universal Gravitational Force is directly proportional to the universal gravitational constant, the mass of one object, the mass of another object and inversely proportional to the distance between the center of the objects squared work – product of parallel component of the force and distance the force is applied through Kinetic energy – product of ½ the mass and the velocity squared.

Calculated Values Weight = Force due to Gravity = product of massand acceleration due to gravity Universal Gravitational Force is directly proportional to the universal gravitational constant, the mass of one object, the mass of another object and inversely proportional to the distance between the center of the objects squared work – product of parallel component of the force and distance the force is applied through Kinetic energy – product of ½ the mass and the velocity squared.

Calculated Values Weight = Force due to Gravity = product of massand acceleration due to gravity Universal Gravitational Force is directly proportional to the universal gravitational constant, the mass of one object, the mass of another object and inversely proportional to the distance between the center of the objects squared work – product of parallel component of the force and distance the force is applied through Kinetic energy – product of ½ the mass and the velocity squared.

Calculated Values Weight = Force due to Gravity = product of massand acceleration due to gravity Universal Gravitational Force is directly proportional to the universal gravitational constant, the mass of one object, the mass of another object and inversely proportional to the distance between the center of the objects squared work – product of parallel component of the force and distance the force is applied through Kinetic energy – product of ½ the mass and the velocity squared.

Calculated Values Weight = Force due to Gravity = product of massand acceleration due to gravity Universal Gravitational Force is directly proportional to the universal gravitational constant, the mass of one object, the mass of another object and inversely proportional to the distance between the center of the objects squared work – product of parallel component of the force and distance the force is applied through Kinetic energy – product of ½ the mass and the velocity squared.

Calculated Values Weight = Force due to Gravity = product of massand acceleration due to gravity Universal Gravitational Force is directly proportional to the universal gravitational constant, the mass of one object, the mass of another object and inversely proportional to the distance between the center of the objects squared work – product of parallel component of the force and distance the force is applied through Kinetic energy – product of ½ the mass and the velocity squared.

Calculated Values Weight = Force due to Gravity = product of massand acceleration due to gravity Universal Gravitational Force is directly proportional to the universal gravitational constant, the mass of one object, the mass of another object and inversely proportional to the distance between the center of the objects squared work – product of parallel component of the force and distance the force is applied through Kinetic energy – product of ½ the mass and the velocity squared.

Calculated Values Weight = Force due to Gravity = product of massand acceleration due to gravity Universal Gravitational Force is directly proportional to the universal gravitational constant, the mass of one object, the mass of another object and inversely proportional to the distance between the center of the objects squared work – product of parallel component of the force and distance the force is applied through Kinetic energy – product of ½ the mass and the velocity squared.

Calculated Values Weight = Force due to Gravity = product of massand acceleration due to gravity Universal Gravitational Force is directly proportional to the universal gravitational constant, the mass of one object, the mass of another object and inversely proportional to the distance between the center of the objects squared work – product of parallel component of the force and distance the force is applied through Kinetic energy – product of ½ the mass and the velocity squared.

Calculated Values Weight = Force due to Gravity = product of massand acceleration due to gravity Universal Gravitational Force is directly proportional to the universal gravitational constant, the mass of one object, the mass of another object and inversely proportional to the distance between the center of the objects squared work – product of parallel component of the force and distance the force is applied through Kinetic energy – product of ½ the mass and the velocity squared.

Calculated Values Weight = Force due to Gravity = product of massand acceleration due to gravity Universal Gravitational Force is directly proportional to the universal gravitational constant, the mass of one object, the mass of another object and inversely proportional to the distance between the center of the objects squared work – product of parallel component of the force and distance the force is applied through Kinetic energy – product of ½ the mass and the velocity squared.

Calculated Values Weight = Force due to Gravity = product of massand acceleration due to gravity Universal Gravitational Force is directly proportional to the universal gravitational constant, the mass of one object, the mass of another object and inversely proportional to the distance between the center of the objects squared work – product of parallel component of the force and distance the force is applied through Kinetic energy – product of ½ the mass and the velocity squared.

Calculated Values Weight = Force due to Gravity = product of massand acceleration due to gravity Universal Gravitational Force is directly proportional to the universal gravitational constant, the mass of one object, the mass of another object and inversely proportional to the distance between the center of the objects squared work – product of parallel component of the force and distance the force is applied through Kinetic energy – product of ½ the mass and the velocity squared.

Calculated Values Weight = Force due to Gravity = product of massand acceleration due to gravity Universal Gravitational Force is directly proportional to the universal gravitational constant, the mass of one object, the mass of another object and inversely proportional to the distance between the center of the objects squared work – product of parallel component of the force and distance the force is applied through Kinetic energy – product of ½ the mass and the velocity squared.

Calculated Values Weight = Force due to Gravity = product of massand acceleration due to gravity Universal Gravitational Force is directly proportional to the universal gravitational constant, the mass of one object, the mass of another object and inversely proportional to the distance between the center of the objects squared work – product of parallel component of the force and distance the force is applied through Kinetic energy – product of ½ the mass and the velocity squared.

Calculated Values Power = work done per unit of time Power = energy transferred per unit of time Pressure= Force per unit area Torque = product of perpendicular component of force and distance the force is applied to the center of rotation moment of Inertia – sum of the product of the mass and the distance from the center of rotation squared

Calculated Values Power = work done per unit of time Power = energy transferred per unit of time Pressure= Force per unit area Torque = product of perpendicular component of force and distance the force is applied to the center of rotation moment of Inertia – sum of the product of the mass and the distance from the center of rotation squared

Calculated Values Power = work done per unit of time Power = energy transferred per unit of time Pressure= Force per unit area Torque = product of perpendicular component of force and distance the force is applied to the center of rotation moment of Inertia – sum of the product of the mass and the distance from the center of rotation squared

Calculated Values Power = work done per unit of time Power = energy transferred per unit of time Pressure= Force per unit area Torque = product of perpendicular component of force and distance the force is applied to the center of rotation moment of Inertia – sum of the product of the mass and the distance from the center of rotation squared

Calculated Values Power = work done per unit of time Power = energy transferred per unit of time Pressure= Force per unit area Torque = product of perpendicular component of force and distance the force is applied to the center of rotation moment of Inertia – sum of the product of the mass and the distance from the center of rotation squared

Calculated Values Power = work done per unit of time Power = energy transferred per unit of time Pressure= Force per unit area Torque = product of perpendicular component of force and distance the force is applied to the center of rotation moment of Inertia – sum of the product of the mass and the distance from the center of rotation squared

Calculated Values Power = work done per unit of time Power = energy transferred per unit of time Pressure= Force per unit area Torque = product of perpendicular component of force and distance the force is applied to the center of rotation moment of Inertia – sum of the product of the mass and the distance from the center of rotation squared

Calculated Values Power = work done per unit of time Power = energy transferred per unit of time Pressure= Force per unit area Torque = product of perpendicular component of force and distance the force is applied to the center of rotation moment of Inertia – sum of the product of the mass and the distance from the center of rotation squared

Calculated Values Power = work done per unit of time Power = energy transferred per unit of time Pressure= Force per unit area Torque = product of perpendicular component of force and distance the force is applied to the center of rotation moment of Inertia – sum of the product of the mass and the distance from the center of rotation squared

Calculated Values Power = work done per unit of time Power = energy transferred per unit of time Pressure= Force per unit area Torque = product of perpendicular component of force and distance the force is applied to the center of rotation moment of Inertia – sum of the product of the mass and the distance from the center of rotation squared

labs Physics Terms Walking speed Walking Velocity Graphical Analysis  Slope analysis of position as a function of time graph = speed /velocity  Slope analysis of velocity as a function of time graph =acceleration  Area analysis of velocity as a function of time = displacement

labs Physics Terms Walking speed Walking Velocity Graphical Analysis  Slope analysis of position as a function of time graph = speed /velocity  Slope analysis of velocity as a function of time graph =acceleration  Area analysis of velocity as a function of time = displacement

labs Physics Terms Walking speed Walking Velocity Graphical Analysis  Slope analysis of position as a function of time graph = speed /velocity  Slope analysis of velocity as a function of time graph =acceleration  Area analysis of velocity as a function of time = displacement

labs Physics Terms Walking speed Walking Velocity Graphical Analysis  Slope analysis of position as a function of time graph = speed /velocity  Slope analysis of velocity as a function of time graph =acceleration  Area analysis of velocity as a function of time = displacement

labs Physics Terms Walking speed Walking Velocity Graphical Analysis  Slope analysis of position as a function of time graph = speed /velocity  Slope analysis of velocity as a function of time graph =acceleration  Area analysis of velocity as a function of time = displacement

Labs – kinematics in 1 and 2 dimensions Physics Terms Walking speed Walking Velocity Graphical Analysis  Slope analysis of position as a function of time graph  Slope analysis of velocity as a function of time graph  Area analysis of velocity as a function of time graph Analysis of a Vertical Jump Kinematics Equation analysis of cart up and down incline a=v-v o v =v +v o v= v o + at x=x o +v o t+ 1/2 at 2 v 2 =v o 2 +2a  x t 2 Free fall picket fence lab y vs t graph, v y vs t graph, and g vs t graph

Labs – kinematics in 1 and 2 dimensions Physics Terms Walking speed Walking Velocity Graphical Analysis  Slope analysis of position as a function of time graph  Slope analysis of velocity as a function of time graph  Area analysis of velocity as a function of time graph Analysis of a Vertical Jump Kinematics Equation analysis of cart up and down incline a=v-v o v =v +v o v= v o + at x=x o +v o t+ 1/2 at 2 v 2 =v o 2 +2a  x t 2 Free fall picket fence lab y vs t graph, v y vs t graph, and g vs t graph

Labs – kinematics in 1 and 2 dimensions Physics Terms Walking speed Walking Velocity Graphical Analysis  Slope analysis of position as a function of time graph  Slope analysis of velocity as a function of time graph  Area analysis of velocity as a function of time graph Analysis of a Vertical Jump Kinematics Equation analysis of cart up and down incline a=v-v o v =v +v o v= v o + at x=x o +v o t+ 1/2 at 2 v 2 =v o 2 +2a  x t 2 Free fall picket fence lab y vs t graph, v y vs t graph, and g vs t graph

Labs – kinematics in 1 and 2 dimensions Physics Terms Walking speed Walking Velocity Graphical Analysis  Slope analysis of position as a function of time graph  Slope analysis of velocity as a function of time graph  Area analysis of velocity as a function of time graph Analysis of a Vertical Jump Kinematics Equation analysis of cart up and down incline a=v-v o v =v +v o v= v o + at x=x o +v o t+ 1/2 at 2 v 2 =v o 2 +2a  x t 2 Free fall picket fence lab y vs t graph, v y vs t graph, and g vs t graph

Labs – kinematics in 1 and 2 dimensions Physics Terms Walking speed Walking Velocity Graphical Analysis  Slope analysis of position as a function of time graph  Slope analysis of velocity as a function of time graph  Area analysis of velocity as a function of time graph Analysis of a Vertical Jump Kinematics Equation analysis of cart up and down incline a=v-v o v =v +v o v= v o + at x=x o +v o t+ 1/2 at 2 v 2 =v o 2 +2a  x t 2 Free fall picket fence lab y vs t graph, v y vs t graph, and g vs t graph

Labs – kinematics in 1 and 2 dimensions Physics Terms Walking speed Walking Velocity Graphical Analysis  Slope analysis of position as a function of time graph  Slope analysis of velocity as a function of time graph  Area analysis of velocity as a function of time graph Analysis of a Vertical Jump Kinematics Equation analysis of cart up and down incline a=v-v o v =v +v o v= v o + at x=x o +v o t+ 1/2 at 2 v 2 =v o 2 +2a  x t 2 Free fall picket fence lab y vs t graph, v y vs t graph, and g vs t graph

Labs – kinematics in 1 and 2 dimensions Physics Terms Walking speed Walking Velocity Graphical Analysis  Slope analysis of position as a function of time graph  Slope analysis of velocity as a function of time graph  Area analysis of velocity as a function of time graph Analysis of a Vertical Jump Kinematics Equation analysis of cart up and down incline a=v-v o v =v +v o v= v o + at x=x o +v o t+ 1/2 at 2 v 2 =v o 2 +2a  x t 2 Free fall picket fence lab y vs t graph, v y vs t graph, and g vs t graph

Labs – kinematics in 1 and 2 dimensions Physics Terms Walking speed Walking Velocity Graphical Analysis  Slope analysis of position as a function of time graph  Slope analysis of velocity as a function of time graph  Area analysis of velocity as a function of time graph Analysis of a Vertical Jump Kinematics Equation analysis of cart up and down incline a=v-v o v =v +v o v= v o + at x=x o +v o t+ 1/2 at 2 v 2 =v o 2 +2a  x t 2 Free fall picket fence lab y vs t graph, v y vs t graph, and g vs t graph

Labs – kinematics in 1 and 2 dimensions Physics Terms Walking speed Walking Velocity Graphical Analysis  Slope analysis of position as a function of time graph  Slope analysis of velocity as a function of time graph  Area analysis of velocity as a function of time graph Analysis of a Vertical Jump Kinematics Equation analysis of cart up and down incline a=v-v o v =v +v o v= v o + at x=x o +v o t+ 1/2 at 2 v 2 =v o 2 +2a  x t 2 Free fall picket fence lab y vs t graph, v y vs t graph, and g vs t graph

Labs – kinematics in 1 and 2 dimensions Physics Terms Walking speed Walking Velocity Graphical Analysis  Slope analysis of position as a function of time graph  Slope analysis of velocity as a function of time graph  Area analysis of velocity as a function of time graph Analysis of a Vertical Jump Kinematics Equation analysis of cart up and down incline a=v-v o v =v +v o v= v o + at x=x o +v o t+ 1/2 at 2 v 2 =v o 2 +2a  x t 2 Free fall picket fence lab y vs t graph, v y vs t graph, and g vs t graph

Labs – kinematics in 1 and 2 dimensions Physics Terms Walking speed Walking Velocity Graphical Analysis  Slope analysis of position as a function of time graph  Slope analysis of velocity as a function of time graph  Area analysis of velocity as a function of time graph Analysis of a Vertical Jump Kinematics Equation analysis of cart up and down incline a=v-v o v =v +v o v= v o + at x=x o +v o t+ 1/2 at 2 v 2 =v o 2 +2a  x t 2 Free fall picket fence lab y vs t graph, v y vs t graph, and g vs t graph

Labs – kinematics in 1 and 2 dimensions Physics Terms Walking speed Walking Velocity Graphical Analysis  Slope analysis of position as a function of time graph  Slope analysis of velocity as a function of time graph  Area analysis of velocity as a function of time graph Analysis of a Vertical Jump Kinematics Equation analysis of cart up and down incline a=v-v o v =v +v o v= v o + at x=x o +v o t+ 1/2 at 2 v 2 =v o 2 +2a  x t 2 Free fall picket fence lab y vs t graph, v y vs t graph, and g vs t graph

Labs – kinematics in 1 and 2 dimensions Physics Terms Walking speed Walking Velocity Graphical Analysis  Slope analysis of position as a function of time graph  Slope analysis of velocity as a function of time graph  Area analysis of velocity as a function of time graph Analysis of a Vertical Jump Kinematics Equation analysis of cart up and down incline a=v-v o v =v +v o v= v o + at x=x o +v o t+ 1/2 at 2 v 2 =v o 2 +2a  x t 2 Free fall picket fence lab y vs t graph, v y vs t graph, and g vs t graph

Labs – kinematics in 1 and 2 dimensions Physics Terms Walking speed Walking Velocity Graphical Analysis  Slope analysis of position as a function of time graph  Slope analysis of velocity as a function of time graph  Area analysis of velocity as a function of time graph Analysis of a Vertical Jump Kinematics Equation analysis of cart up and down incline a=v-v o v =v +v o v= v o + at x=x o +v o t+ 1/2 at 2 v 2 =v o 2 +2a  x t 2 Free fall picket fence lab y vs t graph, v y vs t graph, and g vs t graph

Labs – kinematics in 1 and 2 dimensions Physics Terms Walking speed Walking Velocity Graphical Analysis  Slope analysis of position as a function of time graph  Slope analysis of velocity as a function of time graph  Area analysis of velocity as a function of time graph Analysis of a Vertical Jump Kinematics Equation analysis of cart up and down incline a=v-v o v =v +v o v= v o + at x=x o +v o t+ 1/2 at 2 v 2 =v o 2 +2a  x t 2 Free fall picket fence lab y vs t graph, v y vs t graph, and g vs t graph

Labs – kinematics in 1 and 2 dimensions Horizontally fired projectile  Time of flight is independent of horizontal velocity  Time of flight is dependent on height fired from Horizontal range as a function of angle for ground to ground fired projectiles  v ox =v o cos   v ox = v x  v oy = v o sin   v y = v oy + gt X and Y position as a function of time for a projectile fired at angle above or below the horizon X and Y position at maximum height for a projectile fired at an angle above the horizon ground to cliff fired projectiles cliff to ground fired projectiles  Quadratic equation to find time of flight y=y o + v oy t + ½ gt 2

Labs – kinematics in 1 and 2 dimensions Horizontally fired projectile  Time of flight is independent of horizontal velocity  Time of flight is dependent on height fired from Horizontal range as a function of angle for ground to ground fired projectiles  v ox =v o cos   v ox = v x  v oy = v o sin   v y = v oy + gt X and Y position as a function of time for a projectile fired at angle above or below the horizon X and Y position at maximum height for a projectile fired at an angle above the horizon ground to cliff fired projectiles cliff to ground fired projectiles  Quadratic equation to find time of flight y=y o + v oy t + ½ gt 2

Labs – kinematics in 1 and 2 dimensions Horizontally fired projectile  Time of flight is independent of horizontal velocity  Time of flight is dependent on height fired from Horizontal range as a function of angle for ground to ground fired projectiles  v ox =v o cos   v ox = v x  v oy = v o sin   v y = v oy + gt X and Y position as a function of time for a projectile fired at angle above or below the horizon X and Y position at maximum height for a projectile fired at an angle above the horizon ground to cliff fired projectiles cliff to ground fired projectiles  Quadratic equation to find time of flight y=y o + v oy t + ½ gt 2

Labs – kinematics in 1 and 2 dimensions Horizontally fired projectile  Time of flight is independent of horizontal velocity  Time of flight is dependent on height fired from Horizontal range as a function of angle for ground to ground fired projectiles  v ox =v o cos   v ox = v x  v oy = v o sin   v y = v oy + gt X and Y position as a function of time for a projectile fired at angle above or below the horizon X and Y position at maximum height for a projectile fired at an angle above the horizon ground to cliff fired projectiles cliff to ground fired projectiles  Quadratic equation to find time of flight y=y o + v oy t + ½ gt 2

Labs – kinematics in 1 and 2 dimensions Horizontally fired projectile  Time of flight is independent of horizontal velocity  Time of flight is dependent on height fired from Horizontal range as a function of angle for ground to ground fired projectiles  v ox =v o cos   v ox = v x  v oy = v o sin   v y = v oy + gt X and Y position as a function of time for a projectile fired at angle above or below the horizon X and Y position at maximum height for a projectile fired at an angle above the horizon ground to cliff fired projectiles cliff to ground fired projectiles  Quadratic equation to find time of flight y=y o + v oy t + ½ gt 2

Labs – kinematics in 1 and 2 dimensions Horizontally fired projectile  Time of flight is independent of horizontal velocity  Time of flight is dependent on height fired from Horizontal range as a function of angle for ground to ground fired projectiles  v ox =v o cos   v ox = v x  v oy = v o sin   v y = v oy + gt X and Y position as a function of time for a projectile fired at angle above or below the horizon X and Y position at maximum height for a projectile fired at an angle above the horizon ground to cliff fired projectiles cliff to ground fired projectiles  Quadratic equation to find time of flight y=y o + v oy t + ½ gt 2

Labs – kinematics in 1 and 2 dimensions Horizontally fired projectile  Time of flight is independent of horizontal velocity  Time of flight is dependent on height fired from Horizontal range as a function of angle for ground to ground fired projectiles  v ox =v o cos   v ox = v x  v oy = v o sin   v y = v oy + gt X and Y position as a function of time for a projectile fired at angle above or below the horizon X and Y position at maximum height for a projectile fired at an angle above the horizon ground to cliff fired projectiles cliff to ground fired projectiles  Quadratic equation to find time of flight y=y o + v oy t + ½ gt 2

Labs – kinematics in 1 and 2 dimensions Horizontally fired projectile  Time of flight is independent of horizontal velocity  Time of flight is dependent on height fired from Horizontal range as a function of angle for ground to ground fired projectiles  v ox =v o cos   v ox = v x  v oy = v o sin   v y = v oy + gt X and Y position as a function of time for a projectile fired at angle above or below the horizon X and Y position at maximum height for a projectile fired at an angle above the horizon ground to cliff fired projectiles cliff to ground fired projectiles  Quadratic equation to find time of flight y=y o + v oy t + ½ gt 2

Labs - force Force Table –  Graphical Method – tip to tail sketches  Analytical Method – Draw vectors from original Determine angles with respect to x axis Determine x components Determine y components Determine sum of x components Determine sum of y components Use Pythagorean Theorem to determine Resultant Force Use inv tan of sum of y components divided by sum of x components to determine angle with respect to x axis

Labs - force Force Table –  Graphical Method – tip to tail sketches  Analytical Method – Draw vectors from original Determine angles with respect to x axis Determine x components Determine y components Determine sum of x components Determine sum of y components Use Pythagorean Theorem to determine Resultant Force Use inv tan of sum of y components divided by sum of x components to determine angle with respect to x axis

Labs - force Force Table –  Graphical Method – tip to tail sketches  Analytical Method – Draw vectors from original Determine angles with respect to x axis Determine x components Determine y components Determine sum of x components Determine sum of y components Use Pythagorean Theorem to determine Resultant Force Use inv tan of sum of y components divided by sum of x components to determine angle with respect to x axis

Labs - force Force Table –  Graphical Method – tip to tail sketches  Analytical Method – Draw vectors from original Determine angles with respect to x axis Determine x components Determine y components Determine sum of x components Determine sum of y components Use Pythagorean Theorem to determine Resultant Force Use inv tan of sum of y components divided by sum of x components to determine angle with respect to x axis

Labs - force Force Table –  Graphical Method – tip to tail sketches  Analytical Method – Draw vectors from original Determine angles with respect to x axis Determine x components Determine y components Determine sum of x components Determine sum of y components Use Pythagorean Theorem to determine Resultant Force Use inv tan of sum of y components divided by sum of x components to determine angle with respect to x axis

Labs - force Force Table –  Graphical Method – tip to tail sketches  Analytical Method – Draw vectors from original Determine angles with respect to x axis Determine x components Determine y components Determine sum of x components Determine sum of y components Use Pythagorean Theorem to determine Resultant Force Use inv tan of sum of y components divided by sum of x components to determine angle with respect to x axis

Labs - force Force Table –  Graphical Method – tip to tail sketches  Analytical Method – Draw vectors from original Determine angles with respect to x axis Determine x components Determine y components Determine sum of x components Determine sum of y components Use Pythagorean Theorem to determine Resultant Force Use inv tan of sum of y components divided by sum of x components to determine angle with respect to x axis

Labs - force Force Table –  Graphical Method – tip to tail sketches  Analytical Method – Draw vectors from original Determine angles with respect to x axis Determine x components Determine y components Determine sum of x components Determine sum of y components Use Pythagorean Theorem to determine Resultant Force Use inv tan of sum of y components divided by sum of x components to determine angle with respect to x axis

Labs - force Force Table –  Graphical Method – tip to tail sketches  Analytical Method – Draw vectors from original Determine angles with respect to x axis Determine x components Determine y components Determine sum of x components Determine sum of y components Use Pythagorean Theorem to determine Resultant Force Use inv tan of sum of y components divided by sum of x components to determine angle with respect to x axis

Labs - force Force Table –  Graphical Method – tip to tail sketches  Analytical Method – Draw vectors from original Determine angles with respect to x axis Determine x components Determine y components Determine sum of x components Determine sum of y components Use Pythagorean Theorem to determine Resultant Force Use inv tan of sum of y components divided by sum of x components to determine angle with respect to x axis

Labs - Force Fan Cart F=ma Frictionless Cart pulled by falling mass fromula=a= m f g (m f +m c ) Friction Block pulled by falling mass formula = a = m f g –  mg ( m f + m b )

Labs - Force Fan Cart F=ma Frictionless Cart pulled by falling mass fromula= a= m f g (m f +m c ) Friction Block pulled by falling mass formula = a = m f g –  mg ( m f + m b )

Labs - Force Fan Cart F=ma Frictionless Cart pulled by falling mass fromula= a= m f g (m f +m c ) Friction Block pulled by falling mass formula = a = m f g –  m b g ( m f + m b )

Labs - Force Frictionless Cart on incline  Formula: a = gsin  Friction Block on incline  Formula: a = g sin  –  g cos  Friction Block on incline falling mass  Formula a = m f g - m b g cos  –  m b g sin   ( m f + m b )

Labs - Force Frictionless Cart on incline  Formula: a = gsin  Friction Block on incline  Formula: a = g sin  –  g cos  Friction Block on incline falling mass  Formula a = m f g - m b g cos  –  m b g sin   ( m f + m b )

Labs - Force Frictionless Cart on incline  Formula: a = gsin  Friction Block on incline  Formula: a = g sin  –  g cos  Friction Block on incline falling mass  Formula a = m f g - m b g cos  –  m b g sin   ( m f + m b )

Labs - Force Frictionless Cart on incline  Formula: a = gsin  Friction Block on incline  Formula: a = g sin  –  g cos  Friction Block on incline falling mass  Formula a = m f g - m b g sin  m b g cos   ( m f + m b )

Labs - Force Elevator lab – stationary, accelerating up, constant velocity up, decelerating up, stationary, accelerating down, constant velocity down, decelerating down, stationary, free fall Stationary, Constant Up, Constant Down Formula: F N = F g Accelerating up or Decelerating Down Formula: F N = F g + F net Accelerating down or Decelerating Up Formula: F N = F g - F net Freefall Formula: F N =0

Labs - Force Elevator lab – stationary, accelerating up, constant velocity up, decelerating up, stationary, accelerating down, constant velocity down, decelerating down, stationary, free fall Stationary, Constant Up, Constant Down Formula: F N = F g Accelerating up or Decelerating Down Formula: F N = F g + F net Accelerating down or Decelerating Up Formula: F N = F g - F net Freefall Formula: F N =0

Labs - Force Elevator lab – stationary, accelerating up, constant velocity up, decelerating up, stationary, accelerating down, constant velocity down, decelerating down, stationary, free fall Stationary, Constant Up, Constant Down Formula: F N = F g Accelerating up or Decelerating Down Formula: F N = F g + F net Accelerating down or Decelerating Up Formula: F N = F g - F net Freefall Formula: F N =0

Labs - Force Elevator lab – stationary, accelerating up, constant velocity up, decelerating up, stationary, accelerating down, constant velocity down, decelerating down, stationary, free fall Stationary, Constant Up, Constant Down Formula: F N = F g Accelerating up or Decelerating Down Formula: F N = F g + F net Accelerating down or Decelerating Up Formula: F N = F g - F net Freefall Formula: F N =0

Labs - Force Elevator lab – stationary, accelerating up, constant velocity up, decelerating up, stationary, accelerating down, constant velocity down, decelerating down, stationary, free fall Stationary, Constant Up, Constant Down Formula: F N = F g Accelerating up or Decelerating Down Formula: F N = F g + F net Accelerating down or Decelerating Up Formula: F N = F g - F net Freefall Formula: F N =0

Concept Maps Newtons three laws  Law of inertia Mass is a measure of inertia Object at rest stay at rest until net force acts on them Objects in with a constant speed moving in a straight line remain in this state until a net force acts on them

Concept Maps Newtons three laws  Law of inertia Mass is a measure of inertia Object at rest stay at rest until net force acts on them Objects in with a constant speed moving in a straight line remain in this state until a net force acts on them

Concept Maps Newtons three laws  Law of inertia Mass is a measure of inertia Object at rest stay at rest until net force acts on them Objects in with a constant speed moving in a straight line remain in this state until a net force acts on them

Concept Maps Newtons three laws  Law of inertia Mass is a measure of inertia Object at rest stay at rest until net force acts on them Objects in with a constant speed moving in a straight line remain in this state until a net force acts on them

Force concept maps Quantitative Second Law Force is equal to the change in momentum per unit of time Force is equal to the product of mass and acceleration

Force concept maps Quantitative Second Law Force is equal to the change in momentum per unit of time Force is equal to the product of mass and acceleration

Force concept maps Quantitative Second Law Force is equal to the change in momentum per unit of time Force is equal to the product of mass and acceleration

Force concept maps Quantitative Second Law Force is equal to the change in momentum per unit of time Force is equal to the product of mass and acceleration

Force concept maps Quantitative Second Law Force is equal to the change in momentum per unit of time Force is equal to the product of mass and acceleration

Force concept maps Action Reaction Third Law  Equal magnitude forces  Acting in opposite directions  Acting on two objects  Acting with the same type of force

Force concept maps Action Reaction Third Law  Equal magnitude forces  Acting in opposite directions  Acting on two objects  Acting with the same type of force

Force concept maps Action Reaction Third Law  Equal magnitude forces  Acting in opposite directions  Acting on two objects  Acting with the same type of force

Force concept maps Action Reaction Third Law  Equal magnitude forces  Acting in opposite directions  Acting on two objects  Acting with the same type of force

Force concept maps Action Reaction Third Law  Equal magnitude forces  Acting in opposite directions  Acting on two objects  Acting with the same type of force

Force concept maps Non contact forces  Force due to gravity  Electrostatic and Magnostatic forces  Strong and Weak nuclear force

Force concept maps Non contact forces  Force due to gravity  Electrostatic and Magnostatic forces  Strong and Weak nuclear force

Force concept maps Contact forces  Push – Normal Force – Perpendicular to a surface  Friction – requires normal force – opposes motion  Pull – Tension – acts in both directions

Force concept maps Contact forces  Push – Normal Force – Perpendicular to a surface  Friction – requires normal force – opposes motion  Pull – Tension – acts in both directions

Force concept maps Contact forces  Push – Normal Force – Perpendicular to a surface  Friction – requires normal force – opposes motion  Pull – Tension – acts in both directions

Force concept maps Contact forces  Push – Normal Force – Perpendicular to a surface  Friction – requires normal force – opposes motion  Pull – Tension – acts in both directions

Force concept maps Contact forces  Push – Normal Force – Perpendicular to a surface  Friction – requires normal force – opposes motion  Pull – Tension – acts in both directions

Force concept maps Contact forces  Push – Normal Force – Perpendicular to a surface  Friction – requires normal force – opposes motion  Pull – Tension – acts in both directions

Force concept maps Contact forces  Push – Normal Force – Perpendicular to a surface  Friction – requires normal force – opposes motion  Pull – Tension – acts in both directions

Free body diagrams  F g = force due to gravity = weight  F N = perpendicular push  F fr = opposes motion  F T = pull = tension

Free body diagrams  F g = force due to gravity = weight  F N = perpendicular push  F fr = opposes motion  F T = pull = tension

Free body diagrams  F g = force due to gravity = weight  F N = perpendicular push  F fr = opposes motion  F T = pull = tension

Free body diagrams  F g = force due to gravity = weight  F N = perpendicular push  F fr = opposes motion  F T = pull = tension

Free body diagrams  F g = force due to gravity = weight  F N = perpendicular push  F fr = opposes motion  F T = pull = tension

Labs – Uniform Circular Motion Swing ride – Tension creates a center seeking force – centripetal force Gravitron- Normal force creates a center seeking force – centripetal force Hotwheel rollercoaster – Weightlessness at top – gravity creates the center seeking force – centripetal force Turntable ride – friction creates a central seeking force – centripetal force

Labs – Uniform Circular Motion Swing ride – Tension creates a center seeking force – centripetal force Gravitron- Normal force creates a center seeking force – centripetal force Hotwheel rollercoaster – Weightlessness at top – gravity creates the center seeking force – centripetal force Turntable ride – friction creates a central seeking force – centripetal force

Labs – Uniform Circular Motion Swing ride – Tension creates a center seeking force – centripetal force Gravitron- Normal force creates a center seeking force – centripetal force Hotwheel rollercoaster – Weightlessness at top – gravity creates the center seeking force – centripetal force Turntable ride – friction creates a central seeking force – centripetal force

Labs – Uniform Circular Motion Swing ride – Tension creates a center seeking force – centripetal force Gravitron- Normal force creates a center seeking force – centripetal force Hotwheel rollercoaster – Weightlessness at top – gravity creates the center seeking force – centripetal force Turntable ride – friction creates a central seeking force – centripetal force

Labs – Uniform Circular Motion Swing ride – Tension creates a center seeking force – centripetal force Gravitron- Normal force creates a center seeking force – centripetal force Hotwheel rollercoaster – Weightlessness at top – gravity creates the center seeking force – centripetal force Turntable ride – friction creates a central seeking force – centripetal force

Labs – Uniform Circular Motion Cavendish Torsion Balance – F g = G m 1 m 2 r 2 Universal Gravitational Constant – big G = 6.67x Nm 2 /kg 2 Mass of the earth calculation mg = G m 1 m e r 2 Earth’s moon orbital velocity calculation Satellite orbital velocity calculation Geostationary Satellite orbital velocity and orbital radius calculation Bipolar Star calculation F c = mv 2 = G m 1 m 2 = F g v= 2  r(rev) r r 2 t

Labs – Uniform Circular Motion Cavendish Torsion Balance – F g = G m 1 m 2 r 2 Universal Gravitational Constant – big G = 6.67x Nm 2 /kg 2 Mass of the earth calculation mg = G m 1 m e r 2 Earth’s moon orbital velocity calculation Satellite orbital velocity calculation Geostationary Satellite orbital velocity and orbital radius calculation Bipolar Star calculation F c = mv 2 = G m 1 m 2 = F g v= 2  r(rev) r r 2 t

Labs – Uniform Circular Motion Cavendish Torsion Balance – F g = G m 1 m 2 r 2 Universal Gravitational Constant – big G = 6.67x Nm 2 /kg 2 Mass of the earth calculation mg = G m 1 m e r 2 Earth’s moon orbital velocity calculation Satellite orbital velocity calculation Geostationary Satellite orbital velocity and orbital radius calculation Bipolar Star calculation F c = mv 2 = G m 1 m 2 = F g v= 2  r(rev) r r 2 t

Labs – Uniform Circular Motion Cavendish Torsion Balance – F g = G m 1 m 2 r 2 Universal Gravitational Constant – big G = 6.67x Nm 2 /kg 2 Mass of the earth calculation mg = G m 1 m e r 2 Earth’s moon orbital velocity calculation Satellite orbital velocity calculation Geostationary Satellite orbital velocity and orbital radius calculation Bipolar Star calculation F c = mv 2 = G m 1 m 2 = F g v= 2  r(rev) r r 2 t

Labs – Uniform Circular Motion Cavendish Torsion Balance – F g = G m 1 m 2 r 2 Universal Gravitational Constant – big G = 6.67x Nm 2 /kg 2 Mass of the earth calculation mg = G m 1 m e r 2 Earth’s moon orbital velocity calculation Satellite orbital velocity calculation Geostationary Satellite orbital velocity and orbital radius calculation Bipolar Star calculation F c = mv 2 = G m 1 m 2 = F g v= 2  r(rev) r r 2 t

Kinematics / Dynamics Relationships Distance / Displacement Time Mass Speed/Velocity

Kinematics / Dynamics Relationships Distance / Displacement Time Mass Speed/Velocity

Kinematics / Dynamics Relationships Distance / Displacement Time Mass Speed/Velocity

Kinematics / Dynamics Relationships Distance / Displacement Time Mass Speed/Velocity

Kinematics / Dynamics Relationships Distance / Displacement Time Mass Speed/Velocity

Kinematics / Dynamics Relationships Distance / Displacement Time Mass Speed/Velocity

Kinematics / Dynamics Relationships Distance / Displacement Time Mass Speed/Velocity

Kinematics / Dynamics Relationships Distance / Displacement Time Mass Speed/Velocity

Kinematics / Dynamics Relationships Distance / Displacement Time Mass Speed/Velocity

Kinematics / Dynamics Relationships Distance / Displacement Time Mass Speed/Velocity acceleration

Kinematics / Dynamics Relationships Distance / Displacement Time Mass Speed/Velocity acceleration Momentum

Kinematics / Dynamics Relationships Distance / Displacement Time Mass Speed/Velocity acceleration Momentum

Kinematics / Dynamics Relationships Distance / Displacement Time Mass Speed/Velocity acceleration Momentum (Change)

Kinematics / Dynamics Relationships Distance / Displacement Time Mass Speed/Velocity acceleration Momentum (Change) Force

Kinematics / Dynamics Relationships Distance / Displacement Time Mass Speed/Velocity acceleration Momentum Force

Kinematics / Dynamics Relationships Distance / Displacement Time Mass Speed/Velocity acceleration Momentum Force

Kinematics / Dynamics Relationships Distance / Displacement Time Mass Speed/Velocity acceleration Momentum Force

Kinematics / Dynamics Relationships Distance / Displacement Time Mass Speed/Velocity acceleration Momentum Force Work /

Kinematics / Dynamics Relationships Distance / Displacement Time Mass Speed/Velocity acceleration Momentum Force Work / Energy

Kinematics / Dynamics Relationships Distance / Displacement Time Mass Speed/Velocity acceleration Momentum Force Work / Energy

Kinematics / Dynamics Relationships Distance / Displacement Time Mass Speed/Velocity acceleration Momentum Force Work / Energy Power

Kinematics / Dynamics Relationships Distance/DisplacementTime Mass Speed/Velocity

Kinematics / Dynamics Relationships Distance/DisplacementTimeMass m/s

Kinematics / Dynamics Relationships Distance/DisplacementTime Mass Speed/Velocity=m/s m/s/s=m/s 2

Kinematics / Dynamics Relationships Distance/DisplacementTime Mass Speed/Velocity = m/s Acceleration =m/s 2

Kinematics / Dynamics Relationships Distance/DisplacementTime Mass Speed/Velocity=m/s kg m/s Acceleration= m/s 2

Kinematics / Dynamics Relationships Distance/DisplacementTime Mass Speed/Velocity=m/s kg m/s-momentum Acceleration= m/s 2

Kinematics / Dynamics Relationships Distance/DisplacementTime Mass Speed/Velocity=m/s Momentum=kg m/s Acceleration=m/s 2 kg m/s/s=kg m/s 2

Kinematics / Dynamics Relationships Distance/DisplacementTimeMass Speed/Velocity=m/s Momentum=kg m/s Acceleration=m/s 2 Force=Newton=kg m/s 2

Kinematics / Dynamics Relationships Distance/DisplacementTime Mass Speed/Velocity=m/s Momentum=kg m/s Acceleration=m/s 2 kg m/s 2

Kinematics / Dynamics Relationships Distance/DisplacementTime Mass Speed/Velocity=m/s Momentum=kg m/s Acceleration=m/s 2 Force=Newton =kg m/s 2

Kinematics / Dynamics Relationships Distance/DisplacementTime Mass Speed/Velocity=m/s Momentum=kg m/s Acceleration=m/s 2 Force= Newtons=kg m/s 2 N m = Kg m/s 2 m

Kinematics / Dynamics Relationships Distance/DisplacementTime Mass Speed/Velocity=m/s Momentum=kg m/s Acceleration=m/s 2 Force=Newtons = kg m/s 2 N m = Kg m 2 /s 2

Kinematics / Dynamics Relationships Distance/DisplacementTime Mass Speed/Velocity=m/s Momentum=kg m/s Acceleration=m/s 2 Force=Newton=kg m/s 2 Work /

Kinematics / Dynamics Relationships Distance/DisplacementTime Mass Speed/Velocity=m/s Momentum=kg m/s Acceleration=m/s 2 Force=Newton=kg m/s 2 Work / Energy = Joule = N m = kg m 2 /s 2

Kinematics / Dynamics Relationships Distance/DisplacementTime Mass Speed/Velocity=m/s Momentum=kg m/s Acceleration=m/s 2 Force=N=kg m/s 2 Work / Energy=J = N m = kg m 2 / s 2 kg m 2 /s 2 /s

Kinematics / Dynamics Relationships Distance/DisplacementTime Mass Speed/Velocity=m/s Momentum=kg m/s Acceleration=m/s 2 Force=N=kg m/s 2 Work / Energy=J = N m = kg m 2 / s 2 kg m 2 /s 2 /s = kg m 2 /s 3

Kinematics / Dynamics Relationships Distance/DisplacementTime Mass Speed/Velocity=m/s Momentum=kg m/s Acceleration=m/s 2 Force=N=kg m/s 2 Work / Energy=J = N m = kg m 2 / s 2 kg m 2 /s 2 /s = kg m 2 /s 3 = N m = J s s

Kinematics / Dynamics Relationships Distance/DisplacementTime Mass Speed/Velocity=m/s Momentum=kg m/s Acceleration=m/s 2 Force=N=kg m/s 2 Work / Energy=J = N m = kg m 2 / s 2 kg m 2 /s 2 /s = kg m 2 /s 3 = N m = J = W s s

Kinematics / Dynamics Relationships Distance/DisplacementTime Mass Speed/Velocity=m/s Momentum=kg m/s Acceleration=m/s 2 Force=N=kg m/s 2 Work / Energy=J = N m = kg m 2 / s 2 Power kg m 2 /s 2 /s = kg m 2 /s 3 = N m = J = W s s

Graphical Analysis Position Time

Graphical Analysis Position Time

Graphical Analysis Position Time

stopped Position Time

Graphical Analysis Position Time

Constant velocity –constant momentum – no acceleration Position Time

Graphical Analysis Position Time

Constant velocity – constant momentum – no acceleration Position Time

Graphical Analysis Position Time

Increasing velocity – increasing momentum - accelerating Position Time

Graphical Analysis Position Time

Increasing velocity – increasing momentum - accelerating Position Time

Graphical Analysis Position Time

Decreasing velocity – decreasing momentum - decelerating Position Time

Graphical Analysis Position Time

Decreasing velocity – decreasing momentum - decelerating Position Time

Graphical Analysis O m/s

Velocity vs Time Velocity 0 m/s time

Stopped O m/s

Accelerating O m/s

accelerating O m/s

decelerating O m/s

decelerating O m/s

Constant velocity O m/s

Constant Velocity O m/s

Graphical Analysis Slopes Postion time

Slope = velocity Postion time

Velocity vs Time Slope Velocity time

Slope of V vs T = Acceleration Velocity time

Area of V vs T = ? Velocity time

Area of V vs T = Distance traveled Velocity time

Area of V vs T = Distance traveled Velocity time

Force vs Distance Force Distance

Force vs Distance Force spring constant K = N m Distance

Force vs Distance Force E.P.E=1/2 Kx 2 Distance

Force vs Distance Force Area = Work Distance