document.write( "Question 495056: You want to throw a ball vertically upwards so that it will go up 50 meters before turning around. What initial velocity do you have to give it? \n" ); document.write( "
Algebra.Com's Answer #335927 by Edwin McCravy(20067) You can put this solution on YOUR website! You want to throw a ball vertically upwards so that it will go up 50 meters before turning around. What initial velocity do you have to give it? \n" ); document.write( " \r\n" ); document.write( "We use the formula for the final velocity in terms of the \r\n" ); document.write( "initial velocity and height:\r\n" ); document.write( "\r\n" ); document.write( "vF² = v0² - 19.6h\r\n" ); document.write( "\r\n" ); document.write( "where v0 represents the original velocity and\r\n" ); document.write( "vF represents the final velocity. \r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "When the ball reaches its maximum height it must stop at that instant\r\n" ); document.write( "as it turns around, so we use \r\n" ); document.write( "\r\n" ); document.write( "vF = 0 and h = 50, and solve for v0\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "vF² = v0² - 19.6h\r\n" ); document.write( "\r\n" ); document.write( "0² = v0² - 19.6(50)\r\n" ); document.write( "\r\n" ); document.write( " 0 = v0² - 980\r\n" ); document.write( "\r\n" ); document.write( "980 = v0² \r\n" ); document.write( "\r\n" ); document.write( "Taking positive square roots of both sides:\r\n" ); document.write( "\r\n" ); document.write( "31.3 = v0\r\n" ); document.write( "\r\n" ); document.write( "So the answer is about 31.3 \n" ); document.write( " \n" ); document.write( " |