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

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Question 138851: 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 it's highest point?
Answer by stanbon(48568) (Show Source):
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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 it's highest point?
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You have a quadratic with a = -16 and b=80
The maximum height occurs where t = -b/2a = -80/(2*-16) = 2.5 seconds
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Cheers,
Stan H.