Question 1122287
 A toy rocket is launched vertically from 5 feet above ground level with an initial velocity of 112 feet per second. The height h after t seconds is given by the equation: h(t) = -16t^2 + 112t + 5  

a. How long will it take for the rocket to return to the ground? 
h(t) = -16t^2 + 112t + 5 = 0
Solve for t
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b.  After how many seconds will the rocket be 100 feet above the ground?
h(t) = -16t^2 + 112t + 5 = 100
Solve for t
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c. How long will it take for the rocket to reach maximum height?
It's the vertex of the parabola h(t) = -16t^2 + 112t + 5
 What is the maximum height?