document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=699254>Question 699254</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A ball is kicked upward with an initial velocity of 52 feet per second. The ball's height from the ground is modeled by h=-16t squared +52t where t is measured in seconds. How much time does the ball reach its highest point? what is the height at this point? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #431287 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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/cgi-bin/show-face.mpl?user=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=431287\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> h(t) = -16t^2 +52t<BR>\n" );
document.write( "---------<BR>\n" );
document.write( "It's a parabola.<BR>\n" );
document.write( "Find the vertex<BR>\n" );
document.write( "t at the vertex = -b/2a = -52/-32<BR>\n" );
document.write( "t = 1.625 seconds<BR>\n" );
document.write( "--------<BR>\n" );
document.write( "Max height = h(1.625)<BR>\n" );
document.write( "= -16*1.625^2 + 52*1.625<BR>\n" );
document.write( "= 42.25 feet </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );