A hard rubber ball, not affected by air resistance in its motion, is tossed upwa

Question

A hard rubber ball, not affected by air resistance in its motion, is tossed upward from shoulder height, falls to the sidewalk, rebounds to a smaller maximum height, and its caught on its way down again. This motion is represented in the figure below, where the successive positions of the ball through are not equally spaced in time. At point the center of the ball is at its lowest point in the motion. The motion of the ball is along a straight, vertical line, but the diagram shows successive positions offset to the right to avoid overlapping. Choose the positive y direction be upward. Rank the situations through according to the speed of the ball |v_y | at each point, with the largest speed first. (In both rankings, remember that zero is greater than a negative value. If two values are equal, show that they are equal in your ranking. Format your answers to the answers below using the following example: A > B = C > D. When points are equal, put them in alphabetical order.) Rank the same situations according to on a_y of the ball at point.

Explanation / Answer

A) Rank the situations circle a through circle g according to the speed of the ball |vy| at each point, with the largest speed first

D>A=C>B=E

B) Rank the same situations according to the acceleration ay of the ball at each point is

B = C = D > A > E if the acceleration at a is just before the ball is released.
A = B = C = D > E if the acceleration at a is when or just after the ball is released.

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