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Write an equation that gives the height (in feet) of the football as a function of the...

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user4046196 | Salutatorian

Posted January 28, 2013 at 4:47 PM via web

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Write an equation that gives the height (in feet) of the football as a function of the time (in seconds) since it was punted

A kicker punts a football from 3 feet above the ground with an initial velocity of 47 feet per second.

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lfryerda | High School Teacher | (Level 2) Educator

Posted January 28, 2013 at 8:36 PM (Answer #1)

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Given the assumptions of no friction and constant acceleration of 32 feet per second per second, the height of an object is given by 

`h=-1/2g t^2+v_0t+h_0`  where `g=32` , `v_0=47` is the initial speed and `h_0=3` is the initial height of the ball.  Sub in these values to get:

`h=-16t^2+47t+3`

The height of the ball in feet after t seconds is `h=-16t^2+47t+3` .

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