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The formula v=√ 2gh gives the velocity v, 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 48 feet per second.

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leena

Hi there!

[tex]\large\boxed{36 \text{ feet}}[/tex]

v = √2gh

Plug in the given velocity and acceleration due to gravity:

48 = √2(32)h

Square both sides:

2304 = 2(32)h

Simplify:

2304 = 64h

Divide both sides by 64:

h = 36 feet.

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