document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=518946>Question 518946</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A stationary cyclist is passed by another cyclist riding with a constant speed of 3.4 m/s. Immediately as the other bike passes the stationary bicyclist hops on his bike and accelerates at 2.4m/s2 until he catches up. (a) How much time does it take to catch up and how far has he travelled in this time? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #345366 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=345366\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A stationary cyclist is passed by another cyclist riding with a constant speed of 3.4 m/s.<BR>\n" );
document.write( " Immediately as the other bike passes the stationary bicyclist hops on his bike and accelerates at 2.4m/s2 until he catches up.<BR>\n" );
document.write( " (a) How much time does it take to catch up and how far has he traveled in this time?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let t = time required for him to catch up<BR>\n" );
document.write( "then<BR>\n" );
document.write( "3.4t = distance (in meters) traveled by both bikes when this happens<BR>\n" );
document.write( ":<BR>\n" );
document.write( "2.4t = cyclist speed after t seconds<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2.4t%2F2 ALIGN=MIDDLE  ALT=\"2.4t%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > = av velocity of cyclist over this distance, (from 0 to 2.4t m/s^2)<BR>\n" );
document.write( ":<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2.4t%2F2 ALIGN=MIDDLE  ALT=\"2.4t%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >*t =<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282.4t%5E2%29%2F2 ALIGN=MIDDLE  ALT=\"%282.4t%5E2%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1.2t^2 distance traveled over t time<BR>\n" );
document.write( "It is equal to the other rider's dist<BR>\n" );
document.write( "1.2t^2 = 3.4t<BR>\n" );
document.write( "1.2t^2 - 3.4t = 0<BR>\n" );
document.write( "Divide both sides by 1.2t<BR>\n" );
document.write( "1.2t(t - 2.83) = 0<BR>\n" );
document.write( "t = 0, start time<BR>\n" );
document.write( "and<BR>\n" );
document.write( "t = 2.83 seconds to catch up<BR>\n" );
document.write( "dist = 2.83 * 3.4 = 9.622 meters </SPAN>\n" );
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