AP Physics I - Projectile Motion HW NAME________________________________ DATE________
1) In her physics lab, Sandra rolls a 10-g marble down a ramp and off the table with a horizontal velocity of 1.2 m/s. The
marble falls in a cup placed 0.51 m from the table’s edge. How high is the table?
2) A ball rolls with a speed of 2.0 m/s across a level table that is 1.0 m above the floor. Upon reaching the edge of the
table, it follows a parabolic path to the floor. How far along the floor is the landing spot from the table?
3) A stunt driver on the set of the new F ast & Furious movie (working title: “Fast 10 Your Seatbelts”) drives his car
horizontally out of a transport helicopter that is hovering 300.0 m above the ground. With what speed must the car
leave the airplane if it is to land on the level ground in front of the camera crew located a horizontal distance 120.0 m
away from the helicopter?
4) An object is launched at 20 m/s in a direction making an angle of 25o above the horizontal.
(a) What is the maximum height reached by the object?
(b) What is the total flight time of the object?
(c) What is the horizontal range of the object?
(d) What is the magnitude of the velocity of the object just before it hits the ground?
5) Suppose the football from the example problem (v0 = 20 m/s, 𝜃0 = 37.0o) was a punt, and left the punter’s foot at a
height of 1.00 m above the ground. How far did the football travel before hitting the ground? Set x0 = 0, y0 = 0.
[Hint: yf = -1 m, and so you will have to use the quadratic formula to find the time.]
6) Romeo is chucking pebbles gently up to Juliet’s window, and he wants the pebbles to hit the window with only a
horizontal component of velocity. He is standing at the edge of a rose garden 4.5 meters below her window and 5.0
meters from the base of the wall. How fast are the pebbles going when they hit her window?
7) A projectile is fired with an initial speed of 65.2 m/s at an angle of 34.5o above the horizontal on a long flat firing
range. Determine the following:
(a) The maximum height reached by the projectile;
(b) The total time in the air;
(c) The total horizontal range;
(d) The velocity of the projectile 1.50 s after firing.
8) A projectile is shot from the edge of a cliff 125 m above ground level with an initial speed of 65.0 m/s at an angle of
37.0o above the horizontal, as shown below.
(a) Determine the time taken by the projectile to hit point P a t ground level.
(b) Determine the range X of the projectile as measured from the base of the cliff.
At the instant just before the projectile hits point P
, find the following:
(c) The horizontal and vertical components of its velocity;
(d) The magnitude of the final velocity;
(e) The angle made by the velocity vector with the horizontal;
(f) The maximum height above the cliff top reached by the projectile.
