SOLUTION: 7. 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)

Question 1122287: 7. 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?
b. After how many seconds will the rocket be 100 feet above the ground?
c. How long will it take for the rocket to reach maximum height? What is the maximum height?
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
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
---------------
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?
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