SOLUTION: Boudreaux is hunting quail with his shotgun on a platform 16 feet above the ground. The quail fly at a height between 1160ft and 1200ft above the ground. The height (in feet) of

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Question 202828: Boudreaux is hunting quail with his shotgun on a platform 16 feet above the ground. The quail fly at a height between 1160ft and 1200ft above the ground. The height (in feet) of the shots above the ground at any time (t in seconds) is given by: H(t)=-16t^2+512t+16
Is Boudreaux's shotgun powerful enough to get him a quail?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Boudreaux is hunting quail with his shotgun on a platform 16 feet above the ground. The quail fly at a height between 1160ft and 1200ft above the ground. The height (in feet) of the shots above the ground at any time (t in seconds) is given by: H(t)=-16t^2+512t+16
Is Boudreaux's shotgun powerful enough to get him a quail?
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The maximum height for the gun occurs when t = -b/2a = -512/(2*-16) = 16
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The height at t = 16 is -16(16)^2+512*16+16 = 4112 ft
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The gun has plenty of power; certainly enough to reach between 1160 and 1200'
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Cheers,
Stan H.