Shape of free surface flow

Given a stream of water from a vertical pipe of half- width $W$ ,height $H$ and initial velocity $\vec{v}$ ,landing on a solid surface,is it possible to solve for the shape of the surface of the water stream?Please post your answers, with working.

Truth be told, I have no idea how to approach this. I am just curious if this would work,and it may help my physics tournament,so I would not know if your answers and responses are incorrect. But we can discuss the solution over here!

Timothy

#Mechanics #ClassicalPhysics

Easy Math Editor

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`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
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Math	Appears as
Remember to wrap math in `\(` ... `\)` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$