document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1030625>Question 1030625</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A diver dives into a swimming pool from the diving board. His height in feet is given by y(t) = &#8722;16t2 + 32t + 20, where t is the time in seconds. The horizontal distance in feet of the diver from the diving board is given by x(t) = 2t. What horizontal distance will the diver travel before he hits the water? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #645478 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=645478\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Equation for vertical height, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+ ALIGN=MIDDLE  ALT=\"+y+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y%28t%29+=+-16t%5E2+%2B+32t+%2B+20+ ALIGN=MIDDLE  ALT=\"+y%28t%29+=+-16t%5E2+%2B+32t+%2B+20+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "It looks like the diving board is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+20+ ALIGN=MIDDLE  ALT=\"+20+\"   DISABLED_style= \"max-width:90%; height:auto;\" > ft<BR>\n" );
document.write( "above the water, because when <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;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y%280%29+=+-16%2A0%5E2+%2B+32%2A0+%2B+20+ ALIGN=MIDDLE  ALT=\"+y%280%29+=+-16%2A0%5E2+%2B+32%2A0+%2B+20+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "--------------------------------<BR>\n" );
document.write( "You want to know what <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+ ALIGN=MIDDLE  ALT=\"+t+\"   DISABLED_style= \"max-width:90%; height:auto;\" > is when<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y%28t%29+=+0+ ALIGN=MIDDLE  ALT=\"+y%28t%29+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" > ( the water level )<BR>\n" );
document.write( "--------------------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+0+=+-16t%5E2+%2B+32t+%2B+20+ ALIGN=MIDDLE  ALT=\"+0+=+-16t%5E2+%2B+32t+%2B+20+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-16t%5E2+%2B+32t+=+-20+ ALIGN=MIDDLE  ALT=\"+-16t%5E2+%2B+32t+=+-20+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t%5E2+-+2t+=+5%2F4+ ALIGN=MIDDLE  ALT=\"+t%5E2+-+2t+=+5%2F4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Complete the square<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t%5E2+-+2t+%2B+%28-2%2F2%29%5E2+=+5%2F4+%2B+%28-2%2F2%29%5E2+ ALIGN=MIDDLE  ALT=\"+t%5E2+-+2t+%2B+%28-2%2F2%29%5E2+=+5%2F4+%2B+%28-2%2F2%29%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t%5E2+-+2t+%2B+1+=+5%2F4+%2B+4%2F4+ ALIGN=MIDDLE  ALT=\"+t%5E2+-+2t+%2B+1+=+5%2F4+%2B+4%2F4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+t+-+1+%29%5E2+=+9%2F4+ ALIGN=MIDDLE  ALT=\"+%28+t+-+1+%29%5E2+=+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=+%28+t+-+1+%29%5E2++=+%283%2F2%29%5E2+ ALIGN=MIDDLE  ALT=\"+%28+t+-+1+%29%5E2++=+%283%2F2%29%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+-+1+=+3%2F2+ ALIGN=MIDDLE  ALT=\"+t+-+1+=+3%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+=+5%2F2+ ALIGN=MIDDLE  ALT=\"+t+=+5%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "Equation for horizontal distance:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%28t%29+=+2t+ ALIGN=MIDDLE  ALT=\"+x%28t%29+=+2t+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%28+5%2F2+%29+=+2%2A%28+5%2F2+%29+ ALIGN=MIDDLE  ALT=\"+x%28+5%2F2+%29+=+2%2A%28+5%2F2+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%28+5%2F2+%29+=+5+ ALIGN=MIDDLE  ALT=\"+x%28+5%2F2+%29+=+5+\"   DISABLED_style= \"max-width:90%; height:auto;\" > ft<BR>\n" );
document.write( "The diver travels 5 ft horizontally as he hits the water<BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "check:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y%28t%29+=+-16t%5E2+%2B+32t+%2B+20+ ALIGN=MIDDLE  ALT=\"+y%28t%29+=+-16t%5E2+%2B+32t+%2B+20+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y%285%2F2%29+=+-16%2A%285%2F2%29%5E2+%2B+32%2A%285%2F2%29+%2B+20+ ALIGN=MIDDLE  ALT=\"+y%285%2F2%29+=+-16%2A%285%2F2%29%5E2+%2B+32%2A%285%2F2%29+%2B+20+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y%285%2F2%29+=+-16%2A%28+25%2F4+%29+%2B+160%2F2+%2B+20+ ALIGN=MIDDLE  ALT=\"+y%285%2F2%29+=+-16%2A%28+25%2F4+%29+%2B+160%2F2+%2B+20+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y%285%2F2%29+=+-100+%2B+80+%2B+20+ ALIGN=MIDDLE  ALT=\"+y%285%2F2%29+=+-100+%2B+80+%2B+20+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y%285%2F2%29+=+0+ ALIGN=MIDDLE  ALT=\"+y%285%2F2%29+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" > ( water level )<BR>\n" );
document.write( "OK </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );