document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=64225>Question 64225</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0201312247/algebrahomeworkh>Intermediate Algebra through applications</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> I'm stumped about this problem.  A rocket is fired into the air. The height of the rocket h(t) after t seconds is given by the formula h(t)=80t-16^2. After how many seconds is the rocket 96 feet high<BR>\n" );
document.write( "This is what I started:<BR>\n" );
document.write( "h(t)=80-16^2<BR>\n" );
document.write( "h(96)=80(96)-16(96)^2 Now I am lost???? Can you show me how to complete this problem? Thank you so Much! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #44958 by </B><A HREF=/tutors/aboutme.mpl?userid=303795><B>303795(602)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=303795><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=44958\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You have not written down the formula correctly<BR>\n" );
document.write( "It is not (h(t)=80-16^2) but rather(h(t)=80t-16t^2)<BR>\n" );
document.write( "You have also confused the time which is t with the height which is h(t) because the height varies with time. \r<BR>\n" );
document.write( "\n" );
document.write( "You have to find the time (t) <BR>\n" );
document.write( "h(t) means the height at that time t. You are told that it is 96.<BR>\n" );
document.write( "so <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%28t%29=80t-16t%5E2 ALIGN=MIDDLE  ALT=\"h%28t%29=80t-16t%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=96=80t-16t%5E2 ALIGN=MIDDLE  ALT=\"96=80t-16t%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0=80t-16t%5E2-96 ALIGN=MIDDLE  ALT=\"0=80t-16t%5E2-96\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0=-16t%5E2%2B80t-96 ALIGN=MIDDLE  ALT=\"0=-16t%5E2%2B80t-96\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiply both sides by -1<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0=16t%5E2-80t%2B96 ALIGN=MIDDLE  ALT=\"0=16t%5E2-80t%2B96\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Divide both sides by 16<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0=t%5E2-5t%2B6 ALIGN=MIDDLE  ALT=\"0=t%5E2-5t%2B6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Factorise<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0=%28t-2%29%28t-3%29 ALIGN=MIDDLE  ALT=\"0=%28t-2%29%28t-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "so t=2 or t=3<BR>\n" );
document.write( "So the rocket is at 96 feet after 2 seconds and again at 96 feet after 3 seconds as it comes back down again.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );