# How Far An Object Has Fallen If Its Velocity Is 80 Feet Per Second

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**Problem**

The formula $v = \sqrt{2gh}$ give the velocity, in feet per second, of an object when it falls *h* feet accelerated by gravity *g*, in feet per second squared. If *g* is approximately 32 feet per second squared, find how far an object has fallen if its velocity is 80 feet per second.

A. 80 feet | C. 70 feet |

B. 100 feet | D. 90 feet |

**Answer Key**

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[ B ]

**Solution**

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In hydraulics,

$h = \dfrac{v^2}{2g}$

*h*is called velocity head$h = \dfrac{v^2}{2g}$

$h = \dfrac{80^2}{2(32)}$

$h = 100 ~ \text{ft}$

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