document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1036012>Question 1036012</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A model rocket is launched from the roof of a building. It's flight path is b modeled by h=5t^2+40t+100 where h is the height of the rocket above the ground in meters and t is the time after the launch in seconds. At what time did the rocket reach its maximum height? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #650603 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=650603\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  h=-5t^2+40t+100. Note the editing of -5t^2<BR>\n" );
document.write( "maximum height is vertex, which is -b/2a (that is value of t)<BR>\n" );
document.write( "-40/-10=4<BR>\n" );
document.write( "at 4 seconds, the rocket will reach maximum height.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C200%2C-10%2C10%2C-30%2C200%2C-5x%5E2%2B40x%2B100%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C200%2C-10%2C10%2C-30%2C200%2C-5x%5E2%2B40x%2B100%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );