document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=370229>Question 370229</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A model for the path of a toy rocket is given by 68t-4.9t(squared), where h is the altitude in meters and t is the time in seconds. Explain how to find both the maximum altitude of the rocket and how long it takes to reach that altitude. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #263878 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=263878\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> It's a parabola.  h(t) = -4.9t^2 + 68t<BR>\n" );
document.write( "The time to max height is the line of symmetry, -b/2a<BR>\n" );
document.write( "t = -b/2a = -68/-9.8<BR>\n" );
document.write( "t = 340/49 seconds = ~ 6.939 seconds<BR>\n" );
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document.write( "Max ht = h(340/49) = 566440/2401 meters<BR>\n" );
document.write( "=~ 235.9 meters<BR>\n" );
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document.write( " </SPAN>\n" );
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