- An object is projected horizontally at 8.0 m/s from the top of a 122.5 m cliff. How far from the base of the cliff will the object strike the ground?

- An arrow is shot at 30.0° angle with the horizontal. It has a velocity of 49 m/s.

a) How high will it go?

b) What horizontal distance will the arrow travel?

3. A person kicks a rock off a cliff horizontally with a speed of 20 m/s. It takes 7.0 seconds to hit the ground, find:

a) height of the cliff

b) final vertical velocity

c) range

- A ship fires its guns with a speed of 400 m/s at an angle of 35° with the horizontal. Find the range and maximum altitude.

- A basketball is held over head at a height of 2.4 m. The ball is lobbed to a teammate at 8 m/s at an angle of 40°. If the ball is caught at the same height it was tossed at, how far away is the teammate?

- Suppose the ball in #6 was missed, what would the range be?

- An athlete executing a long jump leaves the ground at angle of 30.0° and travels 7.80 m.

a) What is the takeoff speed?

b) If the takeoff speed was increased by 5.0%, how much longer would the jump be?

- A hunter aims directly at a target (on the same level) 140 m away. If the bullet leaves the gun at a speed of 280 m/s, by how much will the bullet miss the target?

- A ball is thrown horizontally from the roof of a building 50 m tall and lands 45 m from the base. What was the ball’s initial speed?

- A fire hose held near the ground shoots water at a speed of 7.5 m/s. At what angle should the nozzle point in order that the water land 2.0 m away? Why are there two different answers to this problem?

- A bullet traveling 800 m/s horizontally hits a target 180 m away. How far does the bullet fall before it hits the target?

- A student threw a ball horizontally out of a window 8.0 m above the ground. It was caught by another student who was 10.0 m away. What was the initial velocity of the ball?

- A baseball was hit at 45 m/s at an angle of 45° above the horizontal.

a) How long did it remain in the air?

b) How far did it travel horizontally?

- A camper dives from the edge of a swimming pool at water level with a speed of 8.0 m/s at an angle of 30.0° above the horizontal.

a) How long is the diver in the air?

b) How high does the diver go?

c) How far out in the pool does the diver land?

**Answers:**

1) 40 m

2) a) 32 m

b) 2.2 x 102 m

3) a) 2.4 x102 m

b) 69 m/s

c) 1.4 x 102 m

4) a) 2.7 x 103 m

b) 1.5 x104 m

5) 6.2 m

6) 8.4 m

7) a) 9.4 m/s

b) 0.90 m

8) 1.23 m

9) 14 m/s

10) 10°

11) 0.26 m

12) 7.7 m/s, –>

13) a) 6.6 s

b) 2.1 x 102 m

14) a) 0.82 s

b) 0.82 m

c) 5.7 m

could you please post the solutions also?