SOLUTION: A rock is thrown up from the ground at a velocity of 84 feet per second. The formula h = –16t^2 + 84t gives the rock’s height in feet after t seconds. What is the maximum height of

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: A rock is thrown up from the ground at a velocity of 84 feet per second. The formula h = –16t^2 + 84t gives the rock’s height in feet after t seconds. What is the maximum height of      Log On


   



Question 752508: A rock is thrown up from the ground at a velocity of 84 feet per second. The formula h = –16t^2 + 84t gives the rock’s height in feet after t seconds. What is the maximum height of the rock?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A rock is thrown up from the ground at a velocity of 84 feet per second. The formula h = –16t^2 + 84t gives the rock’s height in feet after t seconds. What is the maximum height of the rock?
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max occurs when x = -b/(2a) = -84/(2*-16) = 2.6250 seconds
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f(2.6250) = -16(2.6250^2) + 84(2.6250) = 110.25 ft
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Cheers,
Stan H.