SOLUTION: Suppose the height, h, in feet, of a trampolinist above the ground during one bounce is modelled by the quadratic function h(t) = -16t2 + 42t + 3.75 . For what period of time is th
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Question 766965: Suppose the height, h, in feet, of a trampolinist above the ground during one bounce is modelled by the quadratic function h(t) = -16t2 + 42t + 3.75 . For what period of time is the trampolinist at least 22 ft above the ground? Round your answers to the nearest hundredth. Answer by nerdybill(7384) (Show Source):
You can put this solution on YOUR website! Suppose the height, h, in feet, of a trampolinist above the ground during one bounce is modelled by the quadratic function h(t) = -16t2 + 42t + 3.75 . For what period of time is the trampolinist at least 22 ft above the ground? Round your answers to the nearest hundredth.
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Set h(t) to 22 and solve for t:
h(t) = -16t^2 + 42t + 3.75
22 = -16t^2 + 42t + 3.75
0 = -16t^2 + 42t - 18.25
0 = 16t^2 - 42t + 18.25
Applying the quadratic formula to the above, we get:
t = {0.55, 2.08}
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Answer:
trampolinist is at least 22 ft from
0.55 to 2.08 seconds
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Details of quadratic formula follows:
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