document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=703113>Question 703113</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Jason jumped off a cliff into the ocean. His height function can be modeled by h(t)= -16t^2+16t+480<BR>\n" );
document.write( "How long did it take for Jason to reach his maximum height. What is the highest point he reached. Jason hit the water in how many seconds </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #433320 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=433320\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> It looks like he jumped up a little bit.<BR>\n" );
document.write( "He jumped at <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=+h%280%29+=+-16%2A0%5E2+%2B+16%2A0+%2B+480+ ALIGN=MIDDLE  ALT=\"+h%280%29+=+-16%2A0%5E2+%2B+16%2A0+%2B+480+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+h%280%29+=+480+ ALIGN=MIDDLE  ALT=\"+h%280%29+=+480+\"   DISABLED_style= \"max-width:90%; height:auto;\" > ( the height of the cliff )<BR>\n" );
document.write( "and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+h%281%29+=+-16%2A1%5E2+%2B+16%2A1+%2B+480+ ALIGN=MIDDLE  ALT=\"+h%281%29+=+-16%2A1%5E2+%2B+16%2A1+%2B+480+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+h%281%29+=+-16+%2B+16+%2B+480+ ALIGN=MIDDLE  ALT=\"+h%281%29+=+-16+%2B+16+%2B+480+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+h%281%29++=+480+ ALIGN=MIDDLE  ALT=\"+h%281%29++=+480+\"   DISABLED_style= \"max-width:90%; height:auto;\" > ( he's going back down after jumping up )<BR>\n" );
document.write( "His peak is at the 1/2 point of the two times<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+0+%2B+1+%29+%2F+2+=+1%2F2+ ALIGN=MIDDLE  ALT=\"+%28+0+%2B+1+%29+%2F+2+=+1%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "His peak is at <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+1%2F2+ ALIGN=MIDDLE  ALT=\"+t+=+1%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" > sec<BR>\n" );
document.write( "--------------------------<BR>\n" );
document.write( "That peak is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+h%281%2F2%29+=+-16%2A%281%2F2%29%5E2+%2B+16%2A%281%2F2%29+%2B+480+ ALIGN=MIDDLE  ALT=\"+h%281%2F2%29+=+-16%2A%281%2F2%29%5E2+%2B+16%2A%281%2F2%29+%2B+480+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+h%281%2F2%29+=+-4++%2B+8+%2B+480+ ALIGN=MIDDLE  ALT=\"+h%281%2F2%29+=+-4++%2B+8+%2B+480+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+h%281%2F2%29+=+484+ ALIGN=MIDDLE  ALT=\"+h%281%2F2%29+=+484+\"   DISABLED_style= \"max-width:90%; height:auto;\" >  ft<BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "Jason hit the water when <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;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+0+=+-16t%5E2+%2B+16t+%2B+480+ ALIGN=MIDDLE  ALT=\"+0+=+-16t%5E2+%2B+16t+%2B+480+\"   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+%2B+t++%2B+30+=+0+ ALIGN=MIDDLE  ALT=\"+-t%5E2+%2B+t++%2B+30+=+0+\"   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+-+t+-+30+=+0+ ALIGN=MIDDLE  ALT=\"+t%5E2+-+t+-+30+=+0+\"   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+-+t+=+30+ ALIGN=MIDDLE  ALT=\"+t%5E2+-+t+=+30+\"   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+-+t+%2B+%28-1%2F2%29%5E2+=+30+%2B+%28-1%2F2%29%5E2+ ALIGN=MIDDLE  ALT=\"+t%5E2+-+t+%2B+%28-1%2F2%29%5E2+=+30+%2B+%28-1%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+-+t++%2B+1%2F4+=+30+%2B+1%2F4+ ALIGN=MIDDLE  ALT=\"+t%5E2+-+t++%2B+1%2F4+=+30+%2B+1%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%2F2+%29%5E2+=+121%2F4+ ALIGN=MIDDLE  ALT=\"+%28+t+-+1%2F2+%29%5E2+=+121%2F4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Take the square root of both sides<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+-+1%2F2+=+11%2F2+ ALIGN=MIDDLE  ALT=\"+t+-+1%2F2+=+11%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+=+1%2F2+%2B+11%2F2+ ALIGN=MIDDLE  ALT=\"+t+=+1%2F2+%2B+11%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+=+12%2F2+ ALIGN=MIDDLE  ALT=\"+t+=+12%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+=+6+ ALIGN=MIDDLE  ALT=\"+t+=+6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "He hit the water in 6 sec<BR>\n" );
document.write( "here's the plot:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+400%2C+400%2C+-1%2C+7%2C+-50%2C+550%2C+-16x%5E2+%2B+16x+%2B+480+%29+ ALIGN=MIDDLE  ALT=\"+graph%28+400%2C+400%2C+-1%2C+7%2C+-50%2C+550%2C+-16x%5E2+%2B+16x+%2B+480+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );