Problem: A boy throws a stone horizontally from the top of a cliff of height h toward the ocean below. The stone strikes the ocean at distance d from the base of the cliff. In terms of h d and g find expressions for(a) the time t at which the stone lands in the ocean(b) the initial speed of the stone(c) the speed of the stone immediately before it reaches the ocean(d) the direction of the stone's velocity immediately before it reaches the ocean

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Problem Details

A boy throws a stone horizontally from the top of a cliff of height h toward the ocean below. The stone strikes the ocean at distance d from the base of the cliff. In terms of h d and g find expressions for
(a) the time t at which the stone lands in the ocean
(b) the initial speed of the stone
(c) the speed of the stone immediately before it reaches the ocean
(d) the direction of the stone's velocity immediately before it reaches the ocean

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Based on our data, we think this problem is relevant for Professor Efthimiou's class at UCF.