SOLUTION: A rocket is shot straight into the air at an initial velocity of 96 feet/second. The height of the rocket after x seconds is represented by the formula h = 96x � 16x2. What is the

Question 321772: A rocket is shot straight into the air at an initial velocity of 96 feet/second. The height of the rocket after x seconds is represented by the formula h = 96x � 16x2. What is the maximum height the rocket reaches?
6 feet
144 feet
180 feet
240 feet
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A rocket is shot straight into the air at an initial velocity of 96 feet/second. The height of the rocket after x seconds is represented by the formula h = 96x � 16x2. What is the maximum height the rocket reaches?
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Max height occurs when x =-b/2a = -96/(-2*16) = 3 seconds
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The Max height = h(3) = 96*3-16(9) = 144 ft.
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Cheers,
Stan H.
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6 feet
144 feet
180 feet
240 feet

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