document.write( "Question 95519: Please, please help me, I have been working on this problem for 1 1/2 hours and cannot solve it. God Bless! Lin\r
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document.write( "An archery enthusiast was testing his new bow. He shot an arrow straight up from the top of a building 48 feet high with an initial velocity of 32 feet per second. The height of the arrow (h measured in feet) after t seconds in flight is described by the equation
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document.write( "h = 48 + 32t - 16t^2. \r
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document.write( "Determine the number of seconds after the arrow is shot that it will strike the ground.\r
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document.write( "t = ??? seconds
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Algebra.Com's Answer #69515 by stanbon(75887) ![]() You can put this solution on YOUR website! When it strikes the ground the height = zero. \n" ); document.write( "--------------- \n" ); document.write( " 48 + 32t - 16t^2 = 0 \n" ); document.write( "16t^2-32t-48 = 0 \n" ); document.write( "Divide thru by 16 to get: \n" ); document.write( "t^2-2t-3=0 \n" ); document.write( "Factor to get: \n" ); document.write( "(t-3)(t+1) \n" ); document.write( "Positive answer: \n" ); document.write( "t = 3 seconds \n" ); document.write( "----------------- \n" ); document.write( "The arrow will be on the ground 3 seconds after it was shot up. \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " |