SOLUTION: The height h (in feet) above the water of a cliff diver is modeled by h = -16t^2+10t+26, where t is the time (in seconds). How long is the driver in the air?
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-> SOLUTION: The height h (in feet) above the water of a cliff diver is modeled by h = -16t^2+10t+26, where t is the time (in seconds). How long is the driver in the air?
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Question 1174666: The height h (in feet) above the water of a cliff diver is modeled by h = -16t^2+10t+26, where t is the time (in seconds). How long is the driver in the air? Answer by ikleyn(52781) (Show Source):
The diver will get the water level when h(t) = 0, i.e.
-16t^2 + 10t + 26 = 0, or
16t^2 - 10t - 26 = 0.
The roots of this quadratic equation are
= = = .
Only positive root makes sense t = = = = 1 seconds = 1.625 seconds. ANSWER
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