document.write( "Question 198427: Tiger Woods hits a golf ball into the air. The equation that describs the path of the ball is h=55t-5t^2. There are three questions. (A How high is it the ball after 2 seconds?) (B When will it first reach 140 meters?) (C When will it hit the ground?) \n" ); document.write( "
Algebra.Com's Answer #148926 by nerdybill(7384)![]() ![]() You can put this solution on YOUR website! Tiger Woods hits a golf ball into the air. The equation that describs the path of the ball is h=55t-5t^2. There are three questions. \n" ); document.write( "(A How high is it the ball after 2 seconds?) \n" ); document.write( "h=55t-5t^2 \n" ); document.write( "Simply substitute 't' with 2 and solve: \n" ); document.write( "h=55(2)-5(2)^2 \n" ); document.write( "h=110-5(4) \n" ); document.write( "h=110-20 \n" ); document.write( "h=90 meters \n" ); document.write( ". \n" ); document.write( "(B When will it first reach 140 meters?) \n" ); document.write( "h=55t-5t^2 \n" ); document.write( "Subsitute 'h' with 140 meters and solve: \n" ); document.write( "140=55t-5t^2 \n" ); document.write( "0=55t-5t^2-140 \n" ); document.write( "0=-5t^2+55t-140 \n" ); document.write( "0=-t^2+11t-28 \n" ); document.write( "0=t^2-11t+28 \n" ); document.write( "0=(t-4)(t-7) \n" ); document.write( "t = {4,7} \n" ); document.write( "Ball reaches height at 4 and 7 seconds\r \n" ); document.write( "\n" ); document.write( ". \n" ); document.write( "(C When will it hit the ground?) \n" ); document.write( "h=55t-5t^2 \n" ); document.write( "Subsitute 'h' with 0 meters and solve: \n" ); document.write( "0=55t-5t^2 \n" ); document.write( "0=11t-t^2 \n" ); document.write( "0=-t^2+11t \n" ); document.write( "0=t^2-11t \n" ); document.write( "0=t(t-11) \n" ); document.write( "t = {0,11} \n" ); document.write( "Ball is at 0 meters at 0 seconds and 11 seconds\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |