document.write( "Question 249718: A ball is thrown into the air with an upward velocity of 36 ft/s. Its height h in feet after t seconds is given by the function h = –16t2 + 36t + 9.\r
\n" ); document.write( "\n" ); document.write( "a. In how many seconds does the ball reach its maximum height? Round to the nearest hundredth if necessary.
\n" ); document.write( "b. What is the ball's maximum height?
\n" ); document.write( "

Algebra.Com's Answer #181831 by solver91311(24713)\"\" \"About 
You can put this solution on YOUR website!
\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "The graph of the height function is a parabola, opening down because of the negative lead coefficient. The questions asked are nothing more than the coordinates of the vertex of the parabola.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "The -coordinate of the vertex of a parabola described by an equation in the form:\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "is given by\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Just plug in your numbers and calculate.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "For the second part of your problem, simply calculate \r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "John
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" );