document.write( "Question 214252: golf ball is hit at ground level. The ball is
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document.write( "observed to reach its maximum height above
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document.write( "ground level 6.9 s after being hit. 1.1 s after
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document.write( "reaching this maximum height, the ball is
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document.write( "observed to barely clear a fence that is 357 ft
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document.write( "from where it was hit.
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document.write( "The acceleration of gravity is 32 ft/s2 .
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document.write( "How high is the fence? Answer in units of
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document.write( "ft.
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Algebra.Com's Answer #162087 by Alan3354(69443)![]() ![]() You can put this solution on YOUR website! golf ball is hit at ground level. The ball is \n" ); document.write( "observed to reach its maximum height above \n" ); document.write( "ground level 6.9 s after being hit. 1.1 s after \n" ); document.write( "reaching this maximum height, the ball is \n" ); document.write( "observed to barely clear a fence that is 357 ft \n" ); document.write( "from where it was hit. \n" ); document.write( "The acceleration of gravity is 32 ft/s2 . \n" ); document.write( "How high is the fence? Answer in units of \n" ); document.write( "ft. \n" ); document.write( "---------------------- \n" ); document.write( "h(t) = -16t^2 + vt (v = initial vertical speed) \n" ); document.write( "v = 32*6.9 = 220.8 ft/sec \n" ); document.write( "h(t) = -16t^2 + 220.8t \n" ); document.write( "t = 6.9 + 1.1 seconds \n" ); document.write( "h(8) = -16*64 + 220.8*8 = -1024 + 1766.4 \n" ); document.write( "h = 742.4 feet \n" ); document.write( "That's a tall fence, I suspect a number isn't right. 13.8 seconds is a LONG flight time for a golf ball. \n" ); document.write( "----------------- \n" ); document.write( "The distance to the fence is not relevant. \n" ); document.write( " |