document.write( "Question 283805: A water rocket is launched upward with an initial velocity of 48 ft/sec. Its height h, in feet, after t seconds is given by h = 48t - 16t^2. After how many seconds will the height of the rocket be 20 feet? Show all steps necessary to arrive at your solution. \n" ); document.write( "
Algebra.Com's Answer #205984 by dabanfield(803)![]() ![]() ![]() You can put this solution on YOUR website! A water rocket is launched upward with an initial velocity of 48 ft/sec. Its height h, in feet, after t seconds is given by h = 48t - 16t^2. After how many seconds will the height of the rocket be 20 feet? Show all steps necessary to arrive at your solution.\r \n" ); document.write( "\n" ); document.write( "We need to solve:\r \n" ); document.write( "\n" ); document.write( "20 = 48t - 16t^2\r \n" ); document.write( "\n" ); document.write( "or\r \n" ); document.write( "\n" ); document.write( "16t^2 - 48t + 20 = 0\r \n" ); document.write( "\n" ); document.write( "Divide both sides by 4;\r \n" ); document.write( "\n" ); document.write( "4t^2 - 12t + 5 = 0\r \n" ); document.write( "\n" ); document.write( "(2t - 1)*(2t - 5) = 0\r \n" ); document.write( "\n" ); document.write( "Solutions are:\r \n" ); document.write( "\n" ); document.write( "2t - 1 = 0 and 2t - 5 = 0 or\r \n" ); document.write( "\n" ); document.write( "t = 1/2 and t = 5/2\r \n" ); document.write( "\n" ); document.write( "The first time is on the way up and the second is on the way down.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |