document.write( "Question 461487: at 9:45 am Maggie threw a ball upwards while standing on a platform 55 ft off of the ground. The trajectory after t seconds follows the equation: h(t)=-0.6t^2 + 72t + 55
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document.write( "what will be the maximum height of the ball
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document.write( "how long will it take the ball to reach its maximum height
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document.write( "at what time will the ball hit the ground \n" );
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Algebra.Com's Answer #316476 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! at 9:45 am Maggie threw a ball upwards while standing on a platform 55 ft off of the ground. The trajectory after t seconds follows the equation: \n" ); document.write( "h(t) = -0.6t^2 + 72t + 55 \n" ); document.write( "--------------------- \n" ); document.write( "What will be the maximum height of the ball? \n" ); document.write( "max occurs when t = -b/(2a) = -72/(2*-0.6) = -72/(-1.2) = 6 seconds \n" ); document.write( "-------------------- \n" ); document.write( "how long will it take the ball to reach its maximum height? 6 seconds \n" ); document.write( "-------------------- \n" ); document.write( "at what time will the ball hit the ground \n" ); document.write( "Solve -0.6t^2+72t+55 = 0 \n" ); document.write( "Use the quadratic formula: \n" ); document.write( "t = [-72 +- sqrt(72^2 - 4*-0.6*55)]/(2*-0.6) \n" ); document.write( "----- \n" ); document.write( "Positive solution: \n" ); document.write( "t = 120.76 seconds ~ 2 min \n" ); document.write( "------------------- \n" ); document.write( "the ball will hit the ground at 9:47\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |