A juggler throws two balls to the same height so that one is at the halfway point going up when the other is at the halfway point coming down. At that point:
A) Their velocities and accelerations are equal.
B) Their velocities are equal but their accelerations are equal and opposite.
C) Their accelerations are equal but their velocities are equal and opposite.
D) Their velocities and accelerations are both equal and opposite.
E) Their velocities are equal to their accelerations.

Question

Quizplus · Accepted Answer

At the halfway point, both balls have the same displacement, but opposite velocities. Therefore, their average velocities are equal and zero. Since they are at the same height, they must have the same gravitational potential energy and therefore the same acceleration due to gravity (9.8 m/s^2). Thus, their accelerations are equal but their velocities are equal and opposite.

A Juggler Throws Two Balls to the Same Height So