SOLUTION: A model rocket is launched from the ground with an initial velocity of 60 feet per second. The function g(t)= -16t^2+60t represents the height of the rocket, g(t), t seconds after

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Question 1152616: A model rocket is launched from the ground with an initial velocity of 60 feet per second. The function g(t)= -16t^2+60t represents the height of the rocket, g(t), t seconds after it was launched. What is the maximum height the rocket reaches?
Answer by Alan3354(69443) About Me  (Show Source):
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A model rocket is launched from the ground with an initial velocity of 60 feet per second. The function g(t)= -16t^2+60t represents the height of the rocket, g(t), t seconds after it was launched. What is the maximum height the rocket reaches?
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g(t)= -16t^2+60t is a parabola.
Max height is at the vertex.
The vertex is at t = -b/2a
Solve for t, then find g(t).