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): You can put this solution on YOUR website!
.

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

Solved.

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