document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=323983>Question 323983</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The height in feet of an object thrown upward is given by the equation h = 12t + 9 – ½t2, where h is the height of the object after t seconds.  \r<BR>\n" );
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document.write( "What is the initial position? \r<BR>\n" );
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document.write( "What is the height after ½ second?\r<BR>\n" );
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document.write( "At what time does it reach its maximum height?\r<BR>\n" );
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document.write( "What is the maximum height? <BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #231877 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=231877\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The height in feet of an object thrown upward is given by the equation h = 12t + 9 – ½t2, where h is the height of the object after t seconds. <BR>\n" );
document.write( "What is the initial position? <BR>\n" );
document.write( "What is the height after ½ second? <BR>\n" );
document.write( "At what time does it reach its maximum height? <BR>\n" );
document.write( "What is the maximum height? <BR>\n" );
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document.write( "h = 12t + 9 – ½t2  A strange function, but could be true on a different planet.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%28t%29+=+-%281%2F2%29t%5E2+%2B+12t+%2B+9 ALIGN=MIDDLE  ALT=\"h%28t%29+=+-%281%2F2%29t%5E2+%2B+12t+%2B+9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "What is the initial position? <BR>\n" );
document.write( "@ t=0: h(t) = 9  (no units were specified, 9 something)<BR>\n" );
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document.write( "What is the height after ½ second?<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%281%2F2%29+=+-%281%2F2%29%2A%281%2F4%29+%2B+6+%2B+9+=+14.875 ALIGN=MIDDLE  ALT=\"h%281%2F2%29+=+-%281%2F2%29%2A%281%2F4%29+%2B+6+%2B+9+=+14.875\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "At what time does it reach its maximum height?<BR>\n" );
document.write( "At the vertex of the parabola, t = -b/2a<BR>\n" );
document.write( "t = -12/(-1) = 12 seconds<BR>\n" );
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document.write( "What is the maximum height?<BR>\n" );
document.write( "h(12) = (-1/2)*144 + 12*12 + 9<BR>\n" );
document.write( "h(12) = 81 <BR>\n" );
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