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A model rocket is launched from ground level. Its height, h meters above the ground, is a function of time t seconds after launch and is given by the equation h=-4.9t² + 68.6t . What would be the maximum height, to the nearest meter, attained by the model?
 Apr 23, 2012
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[input]plot(-4.9t^2 + 68.6t, t=0..10)[/input]

a maximum is where the "slope" is equal to 0:
[input]diff( -4.9t^2 + 68.6t )[/input]
[input]-(9.8*t)+68.6=0[/input]

t = 7 seconds
 Apr 24, 2012

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