document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=380973>Question 380973</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me with this one, I think I have the solution but not sure.<BR>\n" );
document.write( "An explosion causes debris to rise vertically.  The funtion f(t)=-16^2 + 72t describes the height of the debris above the ground, f(t), in feet, t seconds after the explosion.<BR>\n" );
document.write( "When does the debris reach its maximum height: I got (-72/-32, 81)<BR>\n" );
document.write( "What is the maximum height of the debris: I got (25/2, 81)<BR>\n" );
document.write( "When does the debris hit the ground? I got -9/2<BR>\n" );
document.write( "When we do these she tells us for the first two to use b/2(a) and then then last one I did the quadratic equation.<BR>\n" );
document.write( "Please help me with this so I can work some more on this packet.\r<BR>\n" );
document.write( "\n" );
document.write( "Thank you so very much<BR>\n" );
document.write( "Tracy </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #270349 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=270349\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> First, let's get the equation right!<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28t%29+=+-16t%5E2%2B72t ALIGN=MIDDLE  ALT=\"f%28t%29+=+-16t%5E2%2B72t\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "1) The time to reach maximum height is given by:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5Bmax%5D+=+-b%2F2a ALIGN=MIDDLE  ALT=\"t%5Bmax%5D+=+-b%2F2a\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5Bmax%5D+=+-72%2F2%28-16%29 ALIGN=MIDDLE  ALT=\"t%5Bmax%5D+=+-72%2F2%28-16%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5Bmax%5D+=+9%2F4 ALIGN=MIDDLE  ALT=\"t%5Bmax%5D+=+9%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >seconds.<BR>\n" );
document.write( "2) The maximum height can be found by substituting the time <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5Bmax%5D+=+9%2F4 ALIGN=MIDDLE  ALT=\"t%5Bmax%5D+=+9%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >seconds into the given equation.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%5Bmax%5D+=+-16t%5E2%2B72t ALIGN=MIDDLE  ALT=\"h%5Bmax%5D+=+-16t%5E2%2B72t\"   DISABLED_style= \"max-width:90%; height:auto;\" > Substitute <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5Bmax%5D+=+9%2F4 ALIGN=MIDDLE  ALT=\"t%5Bmax%5D+=+9%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%5Bmax%5D+=+-16%289%2F4%29%5E2%2B72%289%2F4%29 ALIGN=MIDDLE  ALT=\"h%5Bmax%5D+=+-16%289%2F4%29%5E2%2B72%289%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Evaluate.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%5Bmax%5D+=+-16%2881%2F16%29%2B162 ALIGN=MIDDLE  ALT=\"h%5Bmax%5D+=+-16%2881%2F16%29%2B162\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%5Bmax%5D+=+81 ALIGN=MIDDLE  ALT=\"h%5Bmax%5D+=+81\"   DISABLED_style= \"max-width:90%; height:auto;\" >feet.<BR>\n" );
document.write( "3) The time whe debris will hit the ground (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h+=+0 ALIGN=MIDDLE  ALT=\"h+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >) can be found by setting the given equation f(t)= 0 and solving for the time, t.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-16t%5E2%2B72t+=+0 ALIGN=MIDDLE  ALT=\"-16t%5E2%2B72t+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor out a t.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%28-16t%2B72%29+=+0 ALIGN=MIDDLE  ALT=\"t%28-16t%2B72%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Now apply the zero product rule:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+=+0 ALIGN=MIDDLE  ALT=\"t+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-16t%2B72%29+=+0 ALIGN=MIDDLE  ALT=\"%28-16t%2B72%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+=+0 ALIGN=MIDDLE  ALT=\"t+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > solution is the initial condition.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-16t%2B72+=+0 ALIGN=MIDDLE  ALT=\"-16t%2B72+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 72 from both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-16t+=+-72 ALIGN=MIDDLE  ALT=\"-16t+=+-72\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by -16.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+=+9%2F2 ALIGN=MIDDLE  ALT=\"t+=+9%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+=+4.5 ALIGN=MIDDLE  ALT=\"t+=+4.5\"   DISABLED_style= \"max-width:90%; height:auto;\" >seconds.  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );