document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=285385>Question 285385</A>: <I><SPAN STYLE=\"word-break: break-all;\"> show all work for the following math problem: Annie Pelletier won a bronze medal in the wonmen's spring board competition at the 1996 olympics in atlanta.She somersaults from a 3-m bord. Her height, h metres, above the water t seconds after she leaves the springboard is given by h=-4.9tsquared+8.8t+3 what is the value of h when Palletier hits the water? what quadratic equation represents this situation? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #207163 by </B><A HREF=/tutors/aboutme.mpl?userid=jsmallt9><B>jsmallt9(3758)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jsmallt9><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=207163\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Since the height of a dive is measured from the water, her height when she hits the water will be zero. So the equation at the moment she hits the water will be<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0=-4.9t%5E2%2B8.8t%2B3 ALIGN=MIDDLE  ALT=\"0=-4.9t%5E2%2B8.8t%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Since this does not factor we'll use the Quadratic Formula with \"a\" = -4.9, \"b\" = 8.8 and \"c\" = 3:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+=+%28-%288.8%29+%2B-+sqrt%28%288.8%29%5E2+-+4%28-4.9%29%283%29%29%29%2F2%28-4.9%29 ALIGN=MIDDLE  ALT=\"t+=+%28-%288.8%29+%2B-+sqrt%28%288.8%29%5E2+-+4%28-4.9%29%283%29%29%29%2F2%28-4.9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Simplifying we get:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+=+%28-8.8+%2B-+sqrt%2877.44+-+4%28-4.9%29%283%29%29%29%2F2%28-4.9%29 ALIGN=MIDDLE  ALT=\"t+=+%28-8.8+%2B-+sqrt%2877.44+-+4%28-4.9%29%283%29%29%29%2F2%28-4.9%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+=+%28-8.8+%2B-+sqrt%2877.44+%2B+58.8%29%29%2F%28-9.8%29 ALIGN=MIDDLE  ALT=\"t+=+%28-8.8+%2B-+sqrt%2877.44+%2B+58.8%29%29%2F%28-9.8%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+=+%28-8.8+%2B-+sqrt%28136.24%29%29%2F%28-9.8%29 ALIGN=MIDDLE  ALT=\"t+=+%28-8.8+%2B-+sqrt%28136.24%29%29%2F%28-9.8%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+=+%28-8.8+%2B-+11.6721891691318985%29%2F%28-9.8%29 ALIGN=MIDDLE  ALT=\"t+=+%28-8.8+%2B-+11.6721891691318985%29%2F%28-9.8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now we should split this into the two expressions for t:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+=+%28-8.8+%2B+11.6721891691318985%29%2F%28-9.8%29 ALIGN=MIDDLE  ALT=\"t+=+%28-8.8+%2B+11.6721891691318985%29%2F%28-9.8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+=+%28-8.8+-+11.6721891691318985%29%2F%28-9.8%29 ALIGN=MIDDLE  ALT=\"t+=+%28-8.8+-+11.6721891691318985%29%2F%28-9.8%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+=+%282.8721891691318985%29%2F%28-9.8%29 ALIGN=MIDDLE  ALT=\"t+=+%282.8721891691318985%29%2F%28-9.8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+=+%28-20.4721891691318985%29%2F%28-9.8%29 ALIGN=MIDDLE  ALT=\"t+=+%28-20.4721891691318985%29%2F%28-9.8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Since the first answer is negative we will reject it. (It makes no sense to deal with any time <i>before</i> she started her dive!) Dividing out the second solution we get:<BR>\n" );
document.write( "t = 2.0889988948093774<BR>\n" );
document.write( "So she hits the water approximately 2 seconds after starting her dive.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );