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The velocity of liquid escaping from a hole increases as the height of the hole decreases. This follows from Bernoulli's theorem. What can you say about the maximum distance that the liquid reaches along the floor as you vary the height?

Contributed by: Enrique Zeleny

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The velocity of the liquid is equal to

, where

is the acceleration due to gravity and

and

are the heights of the hole and the tank.

Bernoulli's Law (ScienceWorld)

"Flow of Liquid through a Hole" from the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/FlowOfLiquidThroughAHole/

Contributed by: Enrique Zeleny

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Flow of Liquid through a Hole

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