Projectiles and 2-D Motion

1) A soccer ball is kicked from the ground at 18 m/s, 15° above the horizontal. How far will it go?

2) Kick a different soccer ball, this time at 35 m/s, 21° above the horizontal. How high will it go?

3) As an experiment, you throw a television off a cliff 7.5 m high. If the TV leaves the cliff with a velocity of 5.5 m/s, with no vertical component, (a) how far from the base of the cliff will it land, and (b) what will be its velocity (not its speed) when it lands?

4) You decide to shoot a red, plastic rocket down the hall. The rocket leaves the ground at 24 m/s, and the height of the ceiling is 3.5 m. What is the smallest angle that will cause the rocket to hit the ceiling?

5) During a tennis match, one player fires off a serve at 40.0 m/s. The ball leaves the racket 2.35 m above the court surface, traveling horizontally, and passes over the net 12.0 m away. If the height of the net is 0.90 m, by how much does the ball clear the net?

6) A cow is running to the west at 2.4 m/s. It accelerates 30° south of west at 0.85 m/s² for 12 seconds. What is the cow’s new velocity?

7) If a runner jogs 4.0 km 25° east of north, then 2.5 km 40° north of east, then 0.85 km due east, what is his displacement?

8) A river flows at 1.5 m/s, due north. A swimmer swims across with a velocity of 2.0 m/s, 25° west of north, with respect to the river. If the river is 11 m wide, how much time will it take her to cross the river?

9) A boat is moving across a lake at 4.5 m/s, 30° west of south, with respect to the shore. A person on the boat is walking along the deck. The boat is moving at 1.9 m/s, 25° east of north, with respect to the person. What is the velocity of the person with respect to the shore?