The cliff divers of Acapulco push off horizontally from rock platforms about above the water, but they must clear rocky outcrops at water level that extend out into the water from the base of the cliff directly under their launch point. See Fig. . What minimum pushoff speed is necessary to clear the rocks? How long are they in the air?

Problem 63GP

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The height of the cliff h = 35 m.

The distance of the rock from the base of the cliff (x) = 5 m.

Let v be the horizontal speed with which the jumpers jump the cliff. Considering the downward direction as the positive y direction and the origin at the point from which the divers jump off the cliff.