SOLUTION: Tim kicks a ball off the ground. After t seconds, its height, h (in feet), is given by the formula h + -16t^2 + 64t. What is the maximum height reached by the ball?

SOLUTION: Tim kicks a ball off the ground. After t seconds, its height, h (in feet), is given by the formula h + -16t^2 + 64t. What is the maximum height reached by the ball?

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Question 253261: Tim kicks a ball off the ground. After t seconds, its height, h (in feet), is given by the formula h + -16t^2 + 64t. What is the maximum height reached by the ball?
Answer by Greenfinch(383) (Show Source): You can put this solution on YOUR website!
Assuming the formula is h = 16t^2 +64t the maximum height will occur
when dt/dh = 0.
so 32t +64 = 0 gives t = 2
At t = 2, h = 64 which is maximum height
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