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A ball is thrown into the air with an upward velocity of 36 ft/s. Its height h in feet after t seconds is given by the function h = −16t2 + 36t + 10. In how many seconds does th…
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A ball is thrown into the air with an upward velocity of 36 ft/s. Its height h in feet after t seconds is given by the function h = −16t2 + 36t + 10. In how many seconds does th…
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Dec 20, 2018
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A ball is thrown into the air with an upward velocity of 36 ft/s. Its height h in feet after t seconds is given by the function h = −16t2 + 36t + 10. In how many seconds does the ball reach its maximum height? Round to the nearest hundredth if necessary. What is the ball’s maximum height?
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Peter Lillevold
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When h'(t) = 0 the maximum height is reached (turning point).
32t = 36
t = 1.13s
The maximum height is found by getting the value of h(1.13) as follows:
Rusnyder
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Dec 25, 2018
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