SOLUTION: Neglecting air resistance, the number of feet s that an onject fall from rest during t seconds is give by the formula s+16tsquared. How long would it take an object to reach the e

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Question 414438: Neglecting air resistance, the number of feet s that an onject fall from rest during t seconds is give by the formula s+16tsquared. How long would it take an object to reach the earth if it is dropped from 12,000 feet?
Answer by stanbon(75887) About Me  (Show Source):
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Neglecting air resistance, the number of feet s that an onject fall from rest during t seconds is give by the formula s(t) = -16tsquared + h. How long would it take an object to reach the earth if it is dropped from 12,000 feet?
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s(t) = -16t^2 + h where s(t) is the height after t seconds and h is
the initial height.
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The height is zero when the object hits the ground.
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Solve -16t^2 + 12000 = 0
-16t^2 = -12000
t^2 = 12000/16
t = sqrt(12000)/4
t = 27.39 seconds
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Cheers,
Stan H.