A horizontal stream of water leaves an opening in the side of a tank. If the opening is h metre above the ground and the stream hits the ground D metre away, then what is the speed of water as it leaves the tank in terms of g, h and D?
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Question

A horizontal stream of water leaves an opening in the side of a tank. If the opening is h metre above the ground and the stream hits the ground D metre away, then what is the speed of water as it leaves the tank in terms of g, h and D?

Options

G1 Physics · Accepted Answer

For horizontal projection from height h, the fall time follows h = ½gt², so t = √(2h/g). Horizontal motion is uniform, hence D = vt. Therefore v = D/t = D√(g/2h), which is option A.