document.write( "Question 1186: A golfer hits a ball that reaches a height of 24 metres after 2 seconds. If the ball stays in the air for a total of 6 seconds, what was its maximum height? \n" ); document.write( "
Algebra.Com's Answer #352 by khwang(438)![]() ![]() ![]() You can put this solution on YOUR website! Let Vo be the initial vertical velocity of the ball. \n" ); document.write( " \n" ); document.write( " Since h = vot - 1/2 gt^2, \n" ); document.write( " and we know h = 24 m when t = 2 sec, we have \n" ); document.write( " 24 = 2 Vo - 2*9.8 , \n" ); document.write( " 2 Vo = 24 + 19.6 = 43.6, \n" ); document.write( " So Vo = 21.8 m/s \n" ); document.write( " \n" ); document.write( " By the formula V^2 = Vo^2 - 2g h and so h is maximum when V =0, \n" ); document.write( " so h(max) = Vo^2 / 2g = (21.8)^2 / 19.6 = 24.25 meters\r \n" ); document.write( "\n" ); document.write( " Answwer: Maximum height is 24.25 meters \n" ); document.write( " \n" ); document.write( " |