Topic 5 Application: Vertical Motion 1. Ann drops a pebble over the side of a br

Question

Topic 5 Application: Vertical Motion 1. Ann drops a pebble over the side of a bridge. The pebble hits water 2.5 seconds later. What vertical distance did it fall? 2. You are standing on a tall building and want to find out how far it is to the ground. You decide to drop your physics book off the building. It takes 2.00 s to reach the ground. What is the vertical distance of the building? 3. How long is Caitlin, a dancer, in the air when she jumps straight up with a speed of 1.8 m/s? 4. Laquita wants to toss a tennis ball straight up to Michele who is 5.0 meters above her. Ifshe wants the ball to stop just as it reaches Michele, how fast should she toss the ball? 5. Standing on top of a building, Bob tosses a baseball straight up with an initial speed of 15 m/s. It takes 4.0 s for the ball to hit the ground. What is the vertical distance of the building? (g--9.8 m/s?) 6. A hot air balloon is ascending vertically at a constant rate of 2.50m/s. When the balloon is 3.00m above the ground the pilot accidentally drops a compass over the side of the balloon. How much time elapses before the compass hits the ground? 7. A diver springs upward with an initial speed of 1.8m/s from a 3.0m high diving board. (a) Find the velocity with which he strikes the water? Hint: When the diver reaches the water, his displacement will be -3.0m. (b) What is the highest point he reaches above the water?

Explanation / Answer

Problem 1)

Using 2nd equation of motion,

S = ut + 0.5 at^2

Initial velocity, u = 0

Vertical distance, s = 0.5 x 9.81 x 2.5^2 = 30.66 m

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