1. Tarzan is running at top speed (6.0 m/s) and grabs a vine hanging vertically from a tall tree in the jungle. How high can he swing upward?

2. An object, starting from rest, slides down a frictionless incline whose vertical height is 14.0 cm. How fast is it going when it reaches the bottom?

3. A bird is flying with a speed of 18 m/s over water when it accidentally drops a fish. If the altitude of the bird is 5.40 m and friction is disregarded, what is the speed of the fish when it hits the water?

4. A baseball is thrown straight up reaches a height of 50 m. What was its initial velocity? (Neglect air resistance).

5. A car goes off a 400 m cliff with a speed of 30 m/s. How fast will it be moving after reaching a height of 330 m?

6. Consider this 10 kg cart rolling up and down a hill.

a. If the cart is initially rolling at 5 m/s at the beginning, how much kinetic energy does the cart have?

b. If the hill has a maximum height of 1 m, will the cart make it over the top of the hill? (Hint: how much potential energy does the cart at 1 m have?)

c. When the cart is at the top of the hill, does it have: (explain your answer)

i. only potential energy?

ii. only kinetic energy?

iii. both potential and kinetic energy??