SOLUTION: A toy rocket is launched from the ground with an initial velocity of 80 feet per second. The height h of the rocket after t seconds is given by the equation h=80t-16t^2. How long a

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: A toy rocket is launched from the ground with an initial velocity of 80 feet per second. The height h of the rocket after t seconds is given by the equation h=80t-16t^2. How long a      Log On


   

Question 136471: A toy rocket is launched from the ground with an initial velocity of 80 feet per second. The height h of the rocket after t seconds is given by the equation h=80t-16t^2. How long after it is launched will the rocket be at its highest point?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A toy rocket is launched from the ground with an initial velocity of 80 feet per second. The height h of the rocket after t seconds is given by the equation h=80t-16t^2. How long after it is launched will the rocket be at its highest point?
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That equation is a quadratic with a=-16,b=80
Max occurs when t = -b/2a = -(80)/(-32) = 5/2 seconds
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Cheers,
Stan H.