Projectile MotionProjectile Motion

What Is It?What Is It?

Two dimensional motion resulting from a vertical acceleration due to gravity and a uniform horizontal velocity

SeparateSeparate

Galileo determined that the vertical and horizontal components of the projectile motion can be analyzed separately

Acceleration due to gravity is the same regardless of vertical velocity

An object projected horizontally will reach the ground at the same time as one dropped straight down from the same height

EquationsEquations 

Example 1Example 1

A student driver on a motorcycle speeds horizontally off a 50.0m high cliff. How fast must the motorcycle leave the top if it is to land 90m from the base of the cliff?

Example 2Example 2

A football is kicked at an angle of 37° with a velocity of 20m/s. Calculate

a) the max height

b) the time to hit the ground

c) how far away it hits

d) velocity at max height

e) acceleration at max height

Example 3Example 3

A boy on a small hill aims his water balloon slingshot horizontally, straight at a second boy hanging from a tree branch at a distance (d) away. At the instant the balloon is released, the second boy lets go and falls. Did the second boy avoid the hit?