SOLUTION: An arrow is fired into the air with an initial valocity of 96ft/sec. The hieght of the arrow t seconds after it was shot into the air is given by s(t)=-16t^2 +96t. When should the

Algebra ->  Algebra  -> Test  -> Lessons -> SOLUTION: An arrow is fired into the air with an initial valocity of 96ft/sec. The hieght of the arrow t seconds after it was shot into the air is given by s(t)=-16t^2 +96t. When should the       Log On

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Question 236229: An arrow is fired into the air with an initial valocity of 96ft/sec. The hieght of the arrow t seconds after it was shot into the air is given by s(t)=-16t^2 +96t. When should the arrow reach its greatest hieght.
Answer by Alan3354(30993) About Me  (Show Source):
You can put this solution on YOUR website!
s(t)=-16t^2 +96t
At the vertex, when t = -b/2a
t = -96/-32 = 3 seconds (time at max height)
t = 3
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s(3) = -16*9 + 96*3
s(3) = 144 feet max