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18 August, 22:23

The formula can be used to find the velocity v in feet per second of an object that has fallen h feet. Find the velocity of an object that has fallen 25 feet. Round your answer to the nearest tenth.

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  1. 18 August, 22:27
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    I assume you are looking for the formula, and the velocity.

    The formula:

    v1^2-v0^2=2aS

    where

    v0=initial velocity (0 if object falls from rest), ft/s

    v1=velocity reached after falling a distance S, ft/s

    S=distance from initial position, positive downwards (for falling objects), ft

    a=acceleration due to gravity, 32.2 ft/s^2 in imperial units

    So substituting numbers, assuming initial velocity is zero (from rest), then

    S=25 ft

    v1^2-0^2=2*32.2*25

    v1^2=1610

    v1=sqrt (1610)

    =40.1 ft/s
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