document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=490857>Question 490857</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a stone is thrown straight upward with a speed of 20m/s,it is caught on its way down at a point 5.0m above where it was thrown,how far was it going when it was caught,and how long did the trip take </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #334341 by </B><A HREF=/tutors/aboutme.mpl?userid=ccs2011><B>ccs2011(207)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ccs2011><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=ccs2011><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=334341\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Initial velocity = 20<BR>\n" );
document.write( "h(t) = -4.9t^2 +20t<BR>\n" );
document.write( "Solve for t when h(t) = 5<BR>\n" );
document.write( "--> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-4.9t%5E2+%2B20t+=+5 ALIGN=MIDDLE  ALT=\"-4.9t%5E2+%2B20t+=+5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "--> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-4.9t%5E2+%2B20t+-5+=+0 ALIGN=MIDDLE  ALT=\"-4.9t%5E2+%2B20t+-5+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-----------------------------------<BR>\n" );
document.write( "Use quadratic formula<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29 ALIGN=MIDDLE  ALT=\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "---------------------------------<BR>\n" );
document.write( "--> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+=+%28-20+%2B-+sqrt%28+%28-20%29%5E2-4%2A%28-4.9%29%2A%28-5%29+%29%29%2F%282%2A%28-4.9%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "--> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+=+%28-20+%2B-+sqrt%28302%29%29%2F%28-9.8%29 ALIGN=MIDDLE  ALT=\"t+=+%28-20+%2B-+sqrt%28302%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+=+%2820+%2B-+sqrt%28302%29%29%2F9.8+ ALIGN=MIDDLE  ALT=\"t+=+%2820+%2B-+sqrt%28302%29%29%2F9.8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "We want the time when the stone is on its way down which will be the longer time<BR>\n" );
document.write( "--> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+=+%2820+%2B+sqrt%28302%29%29%2F9.8+=+3.814 ALIGN=MIDDLE  ALT=\"t+=+%2820+%2B+sqrt%28302%29%29%2F9.8+=+3.814\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Trip took 3.814 sec<BR>\n" );
document.write( "-------------------------------------<BR>\n" );
document.write( "v(t) = -9.8t + 20<BR>\n" );
document.write( "Solve for when t = 3.814<BR>\n" );
document.write( "--> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=v+=+%28-9.8%29%283.814%29+%2B+20+=+-17.378 ALIGN=MIDDLE  ALT=\"v+=+%28-9.8%29%283.814%29+%2B+20+=+-17.378\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Speed is always positive<BR>\n" );
document.write( "Stone was traveling at 17.378 m/s when caught </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );