One Dimensional Motion AP Physics C

Terms Displacement vs. Distance Displacement: Change in position (vector) Distance: How far an object has travelled (scalar) Symbol: Δx or Δx SI Unit: meter, m

Position

Terms Velocity vs. Speed Velocity: Rate of the change in position (vector) Speed: Rate of distance covered (scalar) Symbol: v or v SI Unit: meter per second, m/s

Average Velocity

Instantaneous Velocity

Terms Acceleration vs. Acceleration Acceleration: The rate at which velocity changes (vector) Acceleration: The rate at which speed changes (scalar) Symbol: a or a SI Unit: meters per second per second or meters per second squared, m/s/s or m/s 2

Average Acceleration

Instantaneous Acceleration

Position vs. Time Graph

What are the velocities?

Average Velocity on an x-t graph

v av vs v inst on an x-t graph

x-t graph vs motion of a particle

Instantaneous Velocity on an x-t graph

Velocity vs. Time Graph The slope of a v vs. t graph is the acceleration The area between the curve and the horizontal axis of a v vs. t graph is the displacement

Comparison of v-t to a-t graphs

Instantaneous Acceleration vs Average Acceleration from a v-t graph

v-t graph vs motion of a particle

x-t graph vs motion of a particle with acceleration

What are the accelerations and displacements?

Acceleration vs. Time Graph The slope means NOTHING The area between the curve and the horizontal axis is the change in velocity a t -10 m/s/s 10 s

Important Acceleration tells us how fast velocity changes Velocity tells us how fast position changes

Kinematics Equations (accelerated motion)

Falling Bodies, thrown up objects, and the y-direction All things fall at the same rate (neglecting air resistance) On earth that rate is 9.80 m/s 2 That rate is an acceleration The name of that acceleration is Gravity

Object moving in y-dir

Changing Acceleration

Velocity by Integration

Position by Integration