document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=940361>Question 940361</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Tom throws a ball into the air. The ball travels along a parabolic path represented by the equation\r<BR>\n" );
document.write( "\n" );
document.write( "h = -8t^2 +40t\r<BR>\n" );
document.write( "\n" );
document.write( "where 'h' is the height in feet and 't' is the time in seconds.\r<BR>\n" );
document.write( "\n" );
document.write( "What is the value of 't' where 'h' has its greatest value? What is the maximum height 'h' of the ball?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #573084 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=573084\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Tom throws a ball into the air. The ball travels along a parabolic path represented by the equation<BR>\n" );
document.write( "h = -8t^2 +40t<BR>\n" );
document.write( "where 'h' is the height in feet and 't' is the time in seconds.<BR>\n" );
document.write( "What is the value of 't' where 'h' has its greatest value? What is the maximum height 'h' of the ball? <BR>\n" );
document.write( "***<BR>\n" );
document.write( "h(t)=-8t^2 +40t<BR>\n" );
document.write( "complete the square:<BR>\n" );
document.write( "h(t)=-8(t^2-5t+25/4)+50<BR>\n" );
document.write( "h(t)=-8(t-5/2)^2+50<BR>\n" );
document.write( "This is an equation of a parabola that opens down with vertex at (5/2,50)<BR>\n" );
document.write( "What is the value of 't' where 'h' has its greatest value? 2.5 sec<BR>\n" );
document.write( "What is the maximum height 'h' of the ball? 50 ft </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );