document.write( "Question 174143: When a ball is thrown, its height in feet h after t seconds is given by the equation \r
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document.write( "h=vt-16t^2
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document.write( "where v is the initial upwards velocity in feet per second. If v=15 feet per second, find all values t of for which h=3 feet. Do not round any intermediate steps. Round your answer to 2 decimal places. \n" );
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Algebra.Com's Answer #129070 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! When a ball is thrown, its height in feet h after t seconds is given by the equation \n" ); document.write( "h=vt-16t^2\r \n" ); document.write( "\n" ); document.write( "where v is the initial upwards velocity in feet per second. If v=15 feet per second, find all values t of for which h=3 feet. \n" ); document.write( "---------------- \n" ); document.write( "h(t) = vt-16t^2 \n" ); document.write( "3 = 15t - 16t^2 \n" ); document.write( "16t^2 - 15t + 3 = 0 \n" ); document.write( "---- \n" ); document.write( "Use the Quadratic formula to solve for \"t\":\r \n" ); document.write( "\n" ); document.write( "t = [15 +- sqrt(225 - 4*16*3)]/32\r \n" ); document.write( "\n" ); document.write( "t = [15 +- sqrt(33)]/32\r \n" ); document.write( "\n" ); document.write( "t = [15 + sqrt(33)]/32 = 0.64827 seconds\r \n" ); document.write( "\n" ); document.write( "or\r \n" ); document.write( "\n" ); document.write( "t = [15 - sqrt(33)]/32 = 0.28923 seconds \n" ); document.write( "================================ \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |