SOLUTION: If a baseball is projected upward from ground level with an initial velocity of 96 feet per second, then it's height is a function of time, given by s= -16t^2+96t What is the ma

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Question 1026692: If a baseball is projected upward from ground level with an initial velocity of 96 feet per second, then it's height is a function of time, given by s= -16t^2+96t
What is the maximum height reached by the ball?
The maximum height reached by the ball is ___ feet.
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
s=+-16t%5E2%2B96t+ <==> s =-16t(t-6).
Since the roots are when t = 0 and t = 6, max height should be reached when t = (0+6)/2 = 3 seconds.
The max height reached by the ball is s = -16*3*(3-6) = 144 feet.