A 58-gram tennis ball is thrown downwards from a balcony and strikes a sidewalk located directly below. A graph of the ball’s velocity with respect to time is shown below.

 

(a) According to the graph, what was the tennis ball’s original velocity?

(b) What was the tennis ball’s original KE at the instant of its release? Show your calculations.

(c) Calculate, using kinematics, the tennis ball’s final velocity if it takes 0.25 seconds to reach the sidewalk. Mark this value on the y-axis of the graph.

(d) Use the graph and your knowledge of the tennis ball’s original and final velocities (from parts a and c), to graphically determine the height of the balcony. Show all steps in your work.

(e) What was the projectile’s original PEg just as it was released from the balcony? Show your calculations.

(f) If, after striking the sidewalk, the ball rebounds to a height of 40 cm, calculate the ball’s initial velocity as it leaves the sidewalk. Show your calculations.

(g) What impulse does the sidewalk deliver to the tennis ball while they were in contact (the yellow circled area)? Show your calculations.

(h) Calculate how much KE was lost by the ball while it was in contact with the sidewalk.