The problem that follow involve straight-line motion. The time t is in seconds unless othe...

The problem that follow involve straight-line motion. The time t is in seconds unless otherwise stated.

Problem

The cliff divers of Acapulco. Mexico, must time their dives so that they enter the water at the crest (high point) of a wave. The crests of the waves are 1 m above the mean water depth h = 4 m. The horizontal velocity of the waves is equal to  The diver's aiming point is 2 m out from the base of the cliff. Assume that his velocity is horizontal when he begins the dive.

(a) What is the magnitude of the diver’s velocity when he enters the water?

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(b) How far from his aiming point must a wave crest be when he dives in order for him to enter the water at the crest?