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Torricelli's, theorem

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Water stands at a depth H in a large open tank whose side walls are vertical (see attachment for figure). A hole is made in one of the walls at a depth h below the water surface.

a) At what distance R from the foot of the wall does the emerging stream strike the floor? Express your answer in terms of the given quantities.

b) How far above the bottom of the tank could a second hole be cut so that the stream emerging from it could have the same range as for the first hole? Express your answer in terms of the given quantities.

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A step-by-step solution is provided that uses Torricelli's Theorem that answers the given questions in terms of the given quantities.

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a) We know that velocity of water stream coming out at a depth h from the top is given by the Torricelli's theorem : v = sq.root(2gh). Direction of this velocity is horizontal at the hole. To determine the range R of the water stream we note that the time taken by the stream to cover a horizontal displacement R and vertical displacement ...

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