document.write( "Question 1199226: The path of a baseball after it has been hit is modeled by the function h = - 0.0032d2 + d +
\n" ); document.write( "3, where h is the height in feet of the baseball and d is the distance in feet the baseball is
\n" ); document.write( "from home plate. What is the maximum height reached by the baseball? How far is the
\n" ); document.write( "baseball from home plate when it reaches its maximum height? \n" ); document.write( "

Algebra.Com's Answer #832989 by Shin123(626) $\"\"$ $\"About$

You can put this solution on YOUR website!
We can model the path of the baseball as a parabola. The maximum height is the y-coordinate of the vertex of the parabola, and the distance of the baseball from home plate when it is at its maximum height is the x-coordinate.
\n" ); document.write( "For a quadratic $\"ax%5E2%2Bbx%2Bc\"$ , the vertex is at $\"-b%2F2a\"$ . In this case, $\"b=1\"$ and $\"a=-0.0032\"$ . Plugging this into a calculator, we see that $\"-b%2F2a\"$ is $\"156.25\"$ , which is the x-coordinate of the vertex. To get the y-coordinate, we simply put in $\"x=156.25\"$ into the quadratic, to get $\"y=81.125\"$ . Therefore, the maximum height of the baseball is $\"highlight%2881.125%29\"$ feet, and it is $\"highlight%28156.25%29\"$ feet from the home plate when it happens. \n" ); document.write( "

\n" );