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A juggler performs in a room whose ceiling is 3 m above the level of his...

A juggler performs in a room whose ceiling is 3 m above the level of his hands. He throws a ball vertically upward so that it just reaches the ceiling.
a. With what initial velocity does he throw the ball?
b. What time is required for the ball to reach the ceiling?
He throws a second ball upward with the same initial velocity, at the instant that the first ball is at the ceiling.
c. How long after the second ball is thrown do the two balls pass each other?
d. When the balls pass each other, how far are they above the juggler’s hands?
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