document.write( "Question 1158307: A ball is thrown vertically upward from the ground. Its distance in feet from the ground in t seconds is s=-16t+224t. After how many seconds will the ball be 720 feet from the ground?\r
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document.write( "please help! \n" );
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Algebra.Com's Answer #781222 by jim_thompson5910(35256)![]() ![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "Answer: Either t = 5 seconds or t = 9 seconds\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "=========================================\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Work Shown:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The equation should be \n" ); document.write( "s = -16t^2 + 224t \n" ); document.write( "Note the t^2 term as the first term\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Plug in s = 720. Then get everything to one side. Afterward, use the quadratic formula to solve for t.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "s = -16t^2 + 224t \n" ); document.write( "720 = -16t^2 + 224t \n" ); document.write( "0 = -16t^2 + 224t - 720 \n" ); document.write( "-16t^2 + 224t - 720 = 0\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Quadratic Formula: Plug in a = -16, b = 224, c = -720 \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "We get two solutions because the ball goes up, but then comes back down again. At t = 5 seconds, the ball is going up. Then at t = 9 seconds, the ball is coming back down. At each of these time values, the height of the ball is 720 feet.\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |