Question 943283: Suppose the height, h, in feet, of a trampolinist above the ground during one bounce is modeled by the quadratic function h(t) = -16t^2 + 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 TimothyLamb(4379)   (Show Source):
You can put this solution on YOUR website! 22 = -16t^2 + 42t + 3.75
-16t^2 + 42t + 3.75 - 22 = 0
-16t^2 + 42t - 18.25 = 0
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the above quadratic equation is in standard form, with a=-16, b=42 and c=-18.25
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to solve the quadratic equation, by using the quadratic formula, copy and paste this:
-16 42 -18.25
into this solver: https://sooeet.com/math/quadratic-equation-solver.php
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the quadratic has two real roots at:
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t = 0.549590274
t = 2.07540973
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answer:
he is at least 22 ft above the ground from t=0.55 and t=2.08 seconds
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