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Independence of Horizontal and Vertical Motion Projectile Motion Independence of Horizontal and Vertical Motion

? MOTION REVIEW Vector Projectile One Dimension Two Dimension Horizontal Motion Vector Projectile Vertical Motion

Recalling Principles Horizontal Motion Vertical Motion

Projectile motion A projectile is any object that is “launched.” Its motion can be straight up/down; Or it can be horizontal at a height; Or it can be upwards at an angle; Whichever case, the key idea is the same: the horizontal and vertical motions are INDEPENDENT of each other.

Projectile motion

Relevance…

Horizontal Projectiles: Equations: t = (2d/g dx = Vxt Vy = gt Vx stays constant Vy increases due to gravity Vx y dx

Recall parts and functions of a triangle. Projectiles at an angle h vo Vy Vx dx Recall parts and functions of a triangle. Equations: Vx = Vocos θ ttot = 2tpeak = 2Vy/g Vy = Vosin θ dx = Vx t tpeak = Vy/g h = Vytpeak - (½) g tpeak2

PROJECTILE Horizontal Semi parabolic vector Vertical

let's put some math with it… Don’t forget to Illustrate!!!

Case 1 with vector… The launch velocity of a projectile is 27 m/s at 53 degrees above the horizontal. Draw the diagram of the component of velocities and resolve for the horizontal and vertical component of its velocity.

With vector… A ball is kicked at a velocity of 20 m/s at angle of 35 degrees. Determine the horizontal and vertical component of its velocity.

Illustrate and write down the given and unknown. Projectile 1 A long jumper leaves the ground with an initial velocity of 13 m/s at an angle 30 degrees above the horizontal, Determine the Time of flight Horizontal distance (range) Maximum height Illustrate and write down the given and unknown.

Projectile 2 A football is kicked with an initial velocity of 27 m/s at an angle of 36 degrees with the horizontal, Determine; Time of flight Horizontal distance Peak height of the ball

Projectile 3 A projectile is fired with an initial speed of 72.5 m/s at an angle 38 degrees above the horizontal on a long flat range. Determine; the maximum height total time in air total horizontal distance

Try…on a piece of paper… A baseball player throws a baseball at a speed of 40 m/s at an angle of 30 degrees to the ground, what is its horizontal velocity component? A cannon fires a projectile at an angle of 45 degrees with the horizontal with a velocity of 700 m/s. determine the time of flight, distance covered and its maximum height.