document.write( "Question 736931: A kicker punts a football from 3 feet above the ground with an initial velocity of 47 feet per second.
\n" ); document.write( "
\n" ); document.write( "Write an equation that gives the height (in feet) of the football as a function of the time (in seconds) since it was punted.
\n" ); document.write( "
\n" ); document.write( "Find the height (in feet) of the football 2 seconds after the punt. \r
\n" ); document.write( "\n" ); document.write( "Calculate how many seconds after the punt the ball would hit the ground. \n" ); document.write( "
Algebra.Com's Answer #450296 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
A kicker punts a football from 3 feet above the ground with an initial velocity of 47 feet per second.\r
\n" ); document.write( "\n" ); document.write( "Write an equation that gives the height (in feet) of the football as a function of the time (in seconds) since it was punted.
\n" ); document.write( "h = -16t^2 + 47t + 3
\n" ); document.write( ":
\n" ); document.write( "Find the height (in feet) of the football 2 seconds after the punt.
\n" ); document.write( "t=2
\n" ); document.write( "h = -16(2^2) + 47(2) + 3
\n" ); document.write( "h = -64 + 94 + 3
\n" ); document.write( "h = 33 ft after 2 seconds
\n" ); document.write( ":
\n" ); document.write( "Calculate how many seconds after the punt the ball would hit the ground.
\n" ); document.write( "h = 0
\n" ); document.write( "-16t^2 + 47t + 3 = 0
\n" ); document.write( "mult by -1, easier to factor
\n" ); document.write( "16t^2 - 47t - 3 = 0
\n" ); document.write( "Factors to
\n" ); document.write( "(16t+1)(t-3) = 0
\n" ); document.write( "the positive solution
\n" ); document.write( "t = 3 seconds to hit the ground
\n" ); document.write( ":
\n" ); document.write( "Graphically, (green line at 33 ft)
\n" ); document.write( "\"+graph%28+300%2C+200%2C+-2%2C+5%2C+-10%2C+50%2C+-16x%5E2%2B47x%2B3%2C+33%29+\" \n" ); document.write( "
\n" );