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# Problem: A juggler performs in a room whose ceiling is a height 3.1 m above the level of his hands. He throws a ball upward so that it just reaches the ceiling.(a) What is the initial velocity of the ball?(b) What is the time required for the ball to reach the ceiling?(c) At the instant when the first ball is at the ceiling, he throws a second ball upward with two-thirds the initial velocity of the first. How long after the second ball is thrown did the two balls pass each other?(d) At what distance above the jugglers hand do they pass each other?

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###### Problem Details

A juggler performs in a room whose ceiling is a height 3.1 m above the level of his hands. He throws a ball upward so that it just reaches the ceiling.
(a) What is the initial velocity of the ball?
(b) What is the time required for the ball to reach the ceiling?
(c) At the instant when the first ball is at the ceiling, he throws a second ball upward with two-thirds the initial velocity of the first. How long after the second ball is thrown did the two balls pass each other?
(d) At what distance above the jugglers hand do they pass each other?