The height h in feet of a ball after t seconds is given by h=176t-16t^2. How long did it take for the ball to hit the ground?

The height h in feet of a ball after t seconds is given by h=176t-16t^2. How long did it take for the ball to hit the ground?

____ sec
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1 Answer

When the ball is on the ground h=0, so 176t=16t², 16t(11-t)=0. From this t=0 (start), or t=11 when it falls to the ground. So the answer is 11 seconds.

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