SOLUTION: a model for the path of a toy rocket is given by h=68t-4.9t(t), where h is the altitude in meters and t is the time in seconds. Explain how to find both the maximum altitude of the
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Question 393268: a model for the path of a toy rocket is given by h=68t-4.9t(t), where h is the altitude in meters and t is the time in seconds. Explain how to find both the maximum altitude of the rocket andhow long it takes to reach that altitude.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
a model for the path of a toy rocket is given by h=68t-4.9t(t), where h is the altitude in meters and t is the time in seconds. Explain how to find both the maximum altitude of the rocket and how long it takes to reach that altitude.
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There are several ways to find the max of min of a quadratic equation.
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Max occurs when t = -b/2a
t = -b/2a = -68/(2*-4.9) = 6.93 seconds
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Max altitude = h(6.93) = 68(6.93)-4.9(6.93^2) = 235.92 meters
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Cheers,
Stan H.
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