1. A stone is thrown horizontally at a speed of 5.0 m/s from the top of a cliff 78.4 m high.
a. How long does it take the stone to reach the bottom of the cliff?
b. How far from the base of the cliff does the stone strike the ground?
c. What are the horizontal and vertical components of the velocity of the stone as it
hits the ground?
2. A steel ball rolls with a constant velocity on a tabletop 0.950 m high. It rolls off and hits
the ground 0.352m from the edge of the table. How fast was the ball rolling?
3. A beach ball, moving with a speed of 1.27 m/s, rolls off a pier and hits the water 0.75 m
from the end of the pier. How high is the pier above the water?
4. A player kicks a football from level ground at 27.0 m/s at an angle of 30.0o above the
horizontal.
a. Find its “hang time,” that is the time the ball is in the air.
b. The distance the ball travels before it hits the ground.
c. Its maximum height.
5. The highest barrier that a projectile can clear is 13.5m, when the projectile is launched at
an angle of 15o above the horizontal. What is the projectile’s speed?
6. When chasing a hare along a flat stretch of ground, a greyhound leaps into the air at a
speed of 10.0 m/s, at an angle of 31o above the horizontal.
a. What is the range of his leap?
b. For how much time is he in the air?
7. A dart player throws a dart horizontally at a speed of 12.4 m/s. The dart hits the board
0.32 m below the height from which it was thrown. How far away is the player from the
board?
8. A rock climber throws a small first aid kit to another climber who is higher up the
mountain. The initial velocity of the kit is 11 m/s at an angle of 65o above the horizontal.
At the instant when the kit is caught, it is traveling horizontally, so its speed is zero.
What is the vertical height between the two climbers?
9. A golfer hits a shot to a green that is elevated 3.0 m above the point where the ball is
struck. The ball leaves the club at a speed of 14.0 m/s at an angle of 40.0o above the
horizontal. Ignoring air resistance, find the speed of the ball just before the ball lands.
10. Water from a garden hose that is pointed 25o above the horizontal lands directly on a
sunbather lying on the ground 4.4 m away in the horizontal direction. If the hose is held
1.4 m above the ground, at what speed does the water leave the nozzle?