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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asked Oct 4, 2021 163k views

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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?

Mathematics
high-school

Guillaume Michel asked

by Guillaume Michel

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at maximum. dt/dh=0

if you differentiate you will get

-32t=-100

t=3.125

Anton Nikiforov answered Oct 10, 2021

by Anton Nikiforov

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