document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=227436>Question 227436</A>: <I><SPAN STYLE=\"word-break: break-all;\"> , Laird realizes he hates mathematics and his Job, and decides to jump off of a building. If his height off the ground at time t is given by h(t)=-2t^2+30t+500 , at what time will he reach his maximum height, and what will it be? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #169007 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=169007\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> h(t)=-2t^2+30t+500<BR>\n" );
document.write( "Max height will be at the vertex of the parabola.<BR>\n" );
document.write( "t = -b/2a = -30/-4 = 7.5 seconds<BR>\n" );
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document.write( "h(7.5) = -2*56.25 + 30*7.5 + 500<BR>\n" );
document.write( "max h = 612.5 feet<BR>\n" );
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document.write( "It seems odd to jump off a building and ascend 112 feet.  Maybe he was trying to jump over it. </SPAN>\n" );
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