document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=389336>Question 389336</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a man jumps off a cliff into water, given the function h(t) = -16t^2+16t+480 where t = time in seconds and h = height in feet At what height did the man jump? What was the the highest point he reached? and how many secs did he take to hit the water?<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #275863 by </B><A HREF=/tutors/aboutme.mpl?userid=richard1234><B>richard1234(7193)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richard1234><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=richard1234><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=275863\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The man jumped at 480 feet (t=0, also if you know elementary physics you know that with constant acceleration, the position X is given as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F2%29at%5E2+%2B+%28v_0%29t+%2B+x_0 ALIGN=MIDDLE  ALT=\"%281%2F2%29at%5E2+%2B+%28v_0%29t+%2B+x_0\"   DISABLED_style= \"max-width:90%; height:auto;\" > where x_0 is the original position)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The highest point he reached occurred at the vertex, which is at t = -b/2a = 1/2 second. Plugging in t = 1/2,\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "h(1/2) = -16(1/4) + 16(1/2) + 480 = 484 feet\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "To find the amount of time it took to hit the ground, we plug h(t) = 0 and solve:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\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;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "I'll divide both sides by -16\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0+=+t%5E2+-+t+-+30 ALIGN=MIDDLE  ALT=\"0+=+t%5E2+-+t+-+30\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0+=+%28t+-+6%29%28t+%2B+5%29 ALIGN=MIDDLE  ALT=\"0+=+%28t+-+6%29%28t+%2B+5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\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;\" > (seconds)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );