SOLUTION: If a baseball is projected upward from ground level with an initial velocity of 64 feet per second ,then it's height is a function of time , given by s(t) = -16tsquare + 54t. What

Question 853967: If a baseball is projected upward from ground level with an initial velocity of 64 feet per second ,then it's height is a function of time , given by s(t) = -16tsquare + 54t. What is the maximum height reached by the ball?
Answer by LinnW(1048) (Show Source): You can put this solution on YOUR website!
s(t) = -16t^2 + 54t
The maximum value for a function of the form
f(x) = ax^2 + bx + c , when a is negative occurs
when x = -b/(2a)
For our equation -b/(2a) = -54/(2(-16)) = 54/32 = 27/16
Substituting 27/16 for t in -16t^2 + 54t gives us
-16(27/16)^2 + 54(27/16)
-729/16 + 729/8

or 45 9/16
See http://www.wolframalpha.com/input/?i=maximum+s%28t%29+%3D+-16t%5E2+%2B+54t

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