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A ball is thrown straight up from the ground with speed v_{0}. At the same instant, a second ball is dropped from rest from a height H, directly above the point where the first ball was thrown upward. There is no air resistance.

Find the time at which the two balls collide.

Find the value of H in terms of v_{0} and g so that at the instant when the balls collide, the first ball is at the highest point of its motion.