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A ball is thrown into the air with an upward velocity of 28 ft/s. Its height (h) in feet after t seconds is given by the function h = - 16t² + 28t + 7. How long does it take the ball to reach its maximum height? What is the ball's maximum height? Round to the nearest hundredth, if necessary.

A - Reaches a maximum height of 7 feet after 1.75 seconds.

B - Reaches a maximum height of 43.75 feet after 0.88 seconds.

C - Reaches a maximum height of 17.5 feet after 0.88 seconds.

D - Reaches a maximum height of 19.25 feet after 0.88 seconds.

Question

Makena

28 August, 20:04

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Answers (1)

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Marlie Valdez · Answer 1

The answer is D. Find the time taken by setting the derivative of h to be 0, then substitute it back into h to find the maximum height.