document.write( "Question 102380: The height of an object thrown upward with an initial velocity of 134 feet per second is given by the formula h = -16t2 + 134t, where t is the time in seconds. How long will it take the object to reach a height of 67 feet? \n" ); document.write( "
Algebra.Com's Answer #74471 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! The height of an object thrown upward with an initial velocity of 134 feet per second is given by the formula h = -16t2 + 134t, where t is the time in seconds. How long will it take the object to reach a height of 67 feet? \n" ); document.write( "------------------------ \n" ); document.write( "Let h = 67 and solve for \"t\". \n" ); document.write( "-16t^2+134t-67 = 0 \n" ); document.write( "Use the quadratic formula to get:\r \n" ); document.write( "\n" ); document.write( "t = [-134 +- sqrt(134^2-4*-16*-67)]/(-32)\r \n" ); document.write( "\n" ); document.write( "t = [-134 +- sqrt(13668)]/(-32)\r \n" ); document.write( "\n" ); document.write( "t = [-134 +- 116.91]/(-32)\r \n" ); document.write( "\n" ); document.write( "t = 7.841 (time on the way down to the ground) \n" ); document.write( " or t=0.534 (time on the way up from the ground)\r \n" ); document.write( "\n" ); document.write( "=========================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |