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20 votes
20 votes
A ball is thrown from an initial height of 5 feet with an initial velocity of 32 ft/s. The height h (in feet) after t seconds is represented by the function h=-16t^2+32t+5. Find the maximum height of the ball.

User Ankit Kaushal
by
2.9k points

1 Answer

10 votes
10 votes
Find the derivative and set equal to 0 (the speed of the object is zero when the object is at max height and s hanging direction)
-32t+32=0

So the object hits a max at t=1

Plug that into original equation and get h=21 feet
User Drhr
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2.8k points
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