Projectile Motion Review

Ground to Ground:

1.  A man is shot out of a cannon with an initial velocity of 38 m/s at an angle of 45° above the horizon.

What is his hang-time? Range? Max height?

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

  1. How long is it in the air?
  2. How high will it go?
  3. What horizontal distance will the arrow travel?

Top Down – Horizontal Launch:

3.  A rock is kicked horizontally at a speed of 10 m/s from the edge of a cliff. The rock strikes the ground 55 m from the foot of the cliff of height H as shown in the figure. Neglect air resistance. Find the time the rock is in the air and its initial height, H.

4.  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?

5.  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?

Top Down – Angled launch:

6.  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°.

  1. If the ball is caught at the same height it was tossed at, how far away is the teammate?
  2. Suppose the ball was missed, what would the range be when it hit the ground?

7.  A physics student is trying to jump from one rooftop to another. If the first building is 40 m away from than the other, what is the maximum height difference (in the y-direction) the second building can be for him to make the jump? (His initial velocity is 10 m/s at an angle of 15˚ above the horizontal.)

Ground up:

8.  A cat is 2 m away for a 5 m high box, and attempts to jump up on top of it. If the cat jumps at 10 m/s at an angle of 60 degrees off the ground, will he make it?

9.  Fenway Park in Boston is the home of the legendary Green Monster, a 11.3 m high wall in left field. The distance from home plate to the outfield fence is 96 m down the third baseline. Conventional baseball wisdom has it that this park favors right handed hitters because of this short distance to the wall as compared to other parks. For example, Riverfront Stadium in Cincinnati is 100.6 m down the third baseline and the fence is 3 m tall.
If a ball is hit down the third baseline with an initial velocity of 47 m/s and an angle of 28 degrees, in which park(s) would it be a home run? By how much does the ball clear/not clear the fence in each park?

Challenge:

10.  A daredevil tries to jump a canyon of width 10 m. To do so, he drives his motorcycle up an incline sloped at an angle of 15 degrees. What minimum speed is necessary to clear the canyon?