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A ball is hit into the air with an initial velocity of 100 ft/s. Its height, h(t), after t seconds is given by the function h(t) = -16t² + 100t + 5. What is the ball's maximum height?
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A ball is hit into the air with an initial velocity of 100 ft/s. Its height, h(t), after t seconds is given by the function h(t) = -16t² + 100t + 5. What is the ball's maximum height?

User Guillaume Michel
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4.2k points

1 Answer

3 votes

at maximum. dt/dh=0

if you differentiate you will get

-32t=-100

t=3.125

User Anton Nikiforov
by
4.1k points
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