# 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(57219)   (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? ------------------------------ The maximum height for the gun occurs when t = -b/2a = -512/(2*-16) = 16 ------------ The height at t = 16 is -16(16)^2+512*16+16 = 4112 ft -------------- The gun has plenty of power; certainly enough to reach between 1160 and 1200' ======================================================== Cheers, Stan H.