SOLUTION: how do I solve this problem: s(t)= -16t^2+192t+224. Find the maximum height reached

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Question 546098: how do I solve this problem: s(t)= -16t^2+192t+224. Find the maximum height reached
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
how do I solve this problem: s(t)= -16t^2+192t+224. Find the maximum height reached
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s(t)= -16t^2+192t+224
s'(t) = -32t + 192 = 0
t = 6 seconds at apogee
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s(6) = -16*36 + 192*6 + 224
s(6) = 800 (max height)
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There's another way to do it, if that's not clear.