Question

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:

Answer 1

We know that in a projectile motion the acceleration always points down and it has magnitude of 9.8 m/s^2 (the acceleration due to gravity). In this kind of motion we know that at equal heights the velocty has the same magnitude but opposite direction.

Since the juggler throws the ball to the same height this means that the balls will follow the same projectile motion then the properties mentioned above are satisfied.

Therefore we conclude that at that point:

Their accelerations are equal but their velocities are equal and opposite.