Posted by **Anon** on Sunday, December 9, 2012 at 9:16pm.

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

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

Find the height (in feet) of the football 2 seconds after the punt.

Calculate how many seconds after the punt the ball would hit the ground.

- math/algebra -
**Reiny**, Sunday, December 9, 2012 at 9:46pm
height = -16t^2 + 47t + 3

when t=2

height = -64 + 94 + 3 = 33 feet high

to hit the ground, height = 0

-16t^2 + 47t+3=0

16t^2 - 47t - 3 = 0

(t-3)(16t + 1) = 0

t = 3 or t = a negative, which is not valid

it will hit the ground after 3 seconds

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