document.write( "Question 724225: A diver is standing on a platform 24 feet above the pool. He jumps from the platform with an initial upward velocity of 8ft/s. How long will it take for him to hit the water? I know the formula is h=-16t^2+vt+s, but I don't understand the difference between h and s. \n" ); document.write( "
Algebra.Com's Answer #443690 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! A diver is standing on a platform 24 feet above the pool. \n" ); document.write( " He jumps from the platform with an initial upward velocity of 8ft/s. \n" ); document.write( " How long will it take for him to hit the water? \n" ); document.write( " I know the formula is h=-16t^2+vt+s, but I don't understand the difference between h and s. \n" ); document.write( ": \n" ); document.write( "The Formula h = -16t^2 + vt + s; where \n" ); document.write( "h = height after t seconds \n" ); document.write( "t = time in seconds \n" ); document.write( "v = upward velocity \n" ); document.write( "s = initial height (t=0) \n" ); document.write( "also note that \n" ); document.write( "-16t^2 represents the downward force of gravity for t seconds \n" ); document.write( "+vt = the upward force for t seconds \n" ); document.write( ": \n" ); document.write( "the height when he hits the water = 0 therefore: \n" ); document.write( "0 = -16t^2 + 8t + 24 \n" ); document.write( "usually written \n" ); document.write( "-16t^2 + 8t + 24 = 0 \n" ); document.write( "we can simplify this, divide by -8, then we have \n" ); document.write( "2t^2 - t - 3 = 0 \n" ); document.write( "this will factor to \n" ); document.write( "(2t - 3)(t + 1) = 0 \n" ); document.write( "the positive solution \n" ); document.write( "2t = 3 \n" ); document.write( "t = 3/2 \n" ); document.write( "t = 1.5 seconds to hit the water \n" ); document.write( "- \n" ); document.write( " |