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)   (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

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