SOLUTION: The height s of a baseball in feet after t seconds is given by s(t)=-16t^2+96t+2 After how many seconds does the baseball reach its maximum height? Show your work. Find the maxim

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Question 665141: The height s of a baseball in feet after t seconds is given by s(t)=-16t^2+96t+2
After how many seconds does the baseball reach its maximum height? Show your work.
Find the maximum hieght of the baseball. Show your work.
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
The height s of a baseball in feet after t seconds is given by s(t)=-16t^2+96t+2
After how many seconds does the baseball reach its maximum height?
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The max height is the vertex of the parabola.
Vertex at t = -b/2a = -96/-32 = 3 seconds.
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Max height is s(3)
s(3) = -16*9 + 96*3 + 2
= 146 feet