Free Fall

1. A tennis ball is thrown straight up with an initial speed of 22.5 m/s. It is caught at the same distance above the ground.

a. How high does the ball rise?

b. How long does the ball remain in the air? Hint: The time it takes the ball to rise equals the time it takes to fall.

2. Free-Fall Ride Suppose a free-fall ride at an amusement park starts at rest and is in free fall. What is the velocity of the ride after 2.3 s? How far do people on the ride fall during the 2.3-s time period?

3. Luke Autbeloe drops a pile of roof shingles from the top of a roof located 8.52 meters above the ground. Determine the time required for the shingles to reach the ground.

4. Rex Things throws his mother's crystal vase vertically upwards with an initial velocity of 26.2 m/s. Determine the height to which the vase will rise above its initial height.

5. A diver jumps from a 3.0 m board with an initial upward velocity of 5.5 m/s. Determine:

1. The time the diver was in the air

2. The maximum height to which she ascended

3. Her velocity on impact with the water

6. An egg is dropped from a treehouse and takes 1.5 seconds to reach the ground. We can ignore air resistance. What is the egg's displacement? (Answer using a coordinate system where upward is positive. Round the answer to two significant digits.)

7. A projectile is shot upward at 198m/s from a height of 40m off the ground. How long will it take the projectile to be at ground level?

8. A blimp is hovering over an ocean. The blimp rises at a speed of 1.2 m/s. The operator of the blimp wants to perform a cool physics experiment. He takes a basketball and drops it out the window at some height off the ground. The basketball takes 7.2 s to hit the ground. At what height did the operator drop the ball, and what is the maximum height?

9. You are walking in Paris alongside the Eiffel Tower and suddenly a croissant smacks you on the head and knocks you to the ground. From your handy dandy tourist guidebook you find that the height of the Eiffel Tower is 300.5 m. If you neglect air resistance, calculate how many seconds the croissant dropped before it tagged you on the head.

10. If I drop a watermelon from the top of one of the tower dorms at UCR, and it takes 3.34 seconds to hit the ground, calculate how tall the building is in meters and then convert into feet.