document.write( "Question 652686: A Little League baseball player throws a ball upward. The height h of the ball (in feet) t seconds after the ball is released is given by the quadratic equation
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document.write( "h = -16t2 +30t +4\r
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document.write( "a) How long does it take the ball to reach a height of 18ft?
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document.write( "b) How long does it take the ball to hit the ground?
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Algebra.Com's Answer #408061 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! A Little League baseball player throws a ball upward. The height h of the ball (in feet) t seconds after the ball is released is given by the quadratic equation \n" ); document.write( "h = -16t2 +30t +4 \n" ); document.write( "a) How long does it take the ball to reach a height of 18ft? \n" ); document.write( "----- \n" ); document.write( "Solve: \n" ); document.write( "-16t^2 + 30t + 4 = 18 \n" ); document.write( "---- \n" ); document.write( "-16t^2 + 30t - 14 = 0 \n" ); document.write( "---- \n" ); document.write( "-8t^2 + 15t - 7 = 0 \n" ); document.write( "----- \n" ); document.write( "t = [-15 +- sqrt(225 - 4*-8*-7)]/(-16) \n" ); document.write( "---- \n" ); document.write( "t = [-15 +- sqrt(29)]/-16 \n" ); document.write( "--- \n" ); document.write( "t = 0.6 seconds and t = 1.274 seconds \n" ); document.write( "================================= \n" ); document.write( "=============== \n" ); document.write( "b) How long does it take the ball to hit the ground? \n" ); document.write( "Solve: -16t^2 + 30t - 4 = 0 \n" ); document.write( "-8t^2 + 15t - 2 = 0 \n" ); document.write( "t = 1.73 seconds \n" ); document.write( "=================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "===================\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |