document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=338989>Question 338989</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The velocity of a train is reduced uniformly from 15m/sec. to 7m/sec. while traveling a distance of 80m. Assuming that the train maintains this constant acceleration, how much farther will the train travel before coming to a rest?\r<BR>\n" );
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document.write( "In this question im very confused about the 15m/sec. to 7m/sec. but overall dont know how to do this problem. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #243022 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=243022\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The speed of the train is becoming<BR>\n" );
document.write( "less and less over a certain distance<BR>\n" );
document.write( "which they tell you is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=80 ALIGN=MIDDLE  ALT=\"80\"   DISABLED_style= \"max-width:90%; height:auto;\" > m<BR>\n" );
document.write( "You could make a plot of this as time<BR>\n" );
document.write( "on the horizontal axis and distance <BR>\n" );
document.write( "traveled on the vertical, but it is easier<BR>\n" );
document.write( "to plot distance on the horizontal and<BR>\n" );
document.write( "velocity on the vertical.<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=v%5B1%5D+=+15 ALIGN=MIDDLE  ALT=\"v%5B1%5D+=+15\"   DISABLED_style= \"max-width:90%; height:auto;\" > m/sec<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=v%5B2%5D+=+7+ ALIGN=MIDDLE  ALT=\"v%5B2%5D+=+7+\"   DISABLED_style= \"max-width:90%; height:auto;\" > m/sec<BR>\n" );
document.write( "Let the point at which <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=v%5B1%5D ALIGN=MIDDLE  ALT=\"v%5B1%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > is measured<BR>\n" );
document.write( "= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5B1%5D+=+0 ALIGN=MIDDLE  ALT=\"d%5B1%5D+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > m<BR>\n" );
document.write( "Let the point at which <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=v%5B2%5D ALIGN=MIDDLE  ALT=\"v%5B2%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > is measured<BR>\n" );
document.write( "= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5B2%5D+=+80 ALIGN=MIDDLE  ALT=\"d%5B2%5D+=+80\"   DISABLED_style= \"max-width:90%; height:auto;\" > m<BR>\n" );
document.write( "-----------------------<BR>\n" );
document.write( "In general, the slope of the line is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28v%5B2%5D+-+v%5B1%5D%29%2F%28d%5B2%5D+-+d%5B1%5D%29 ALIGN=MIDDLE  ALT=\"%28v%5B2%5D+-+v%5B1%5D%29%2F%28d%5B2%5D+-+d%5B1%5D%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%287+-+15%29%2F%2880+-+0%29+=+-8%2F80 ALIGN=MIDDLE  ALT=\"%287+-+15%29%2F%2880+-+0%29+=+-8%2F80\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-8%2F80+=+-1%2F10 ALIGN=MIDDLE  ALT=\"-8%2F80+=+-1%2F10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "--------------------------<BR>\n" );
document.write( "The general form of the equation for velocity vs distance<BR>\n" );
document.write( "would be:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=v+=+15+%2B+%28-1%2F10%29%2Ad ALIGN=MIDDLE  ALT=\"v+=+15+%2B+%28-1%2F10%29%2Ad\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "You can see that when <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d+=+0 ALIGN=MIDDLE  ALT=\"d+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=v+=+15 ALIGN=MIDDLE  ALT=\"v+=+15\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and<BR>\n" );
document.write( "when <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d+=+80 ALIGN=MIDDLE  ALT=\"d+=+80\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=v+=+7 ALIGN=MIDDLE  ALT=\"v+=+7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "--------------------------<BR>\n" );
document.write( "When the train has stopped, it's velocity is zero, so<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0+=+15+%2B+%28-1%2F10%29%2Ad ALIGN=MIDDLE  ALT=\"0+=+15+%2B+%28-1%2F10%29%2Ad\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-1%2F10%29%2Ad+=+-15 ALIGN=MIDDLE  ALT=\"%28-1%2F10%29%2Ad+=+-15\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d+=+150 ALIGN=MIDDLE  ALT=\"d+=+150\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "This says the train has gone <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=150 ALIGN=MIDDLE  ALT=\"150\"   DISABLED_style= \"max-width:90%; height:auto;\" > m from where<BR>\n" );
document.write( "the 15 m/sec measurement was made. The problem wants to <BR>\n" );
document.write( "know how far it went after the 7 m/sec measurement was made<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=150+-+80+=+70 ALIGN=MIDDLE  ALT=\"150+-+80+=+70\"   DISABLED_style= \"max-width:90%; height:auto;\" > m<BR>\n" );
document.write( "The train went <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=70 ALIGN=MIDDLE  ALT=\"70\"   DISABLED_style= \"max-width:90%; height:auto;\" > more meters before coming to rest<BR>\n" );
document.write( "Here is the plot of the line:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+500%2C+500%2C+-20%2C+160%2C+-5%2C+20%2C+%28-1%2F10%29%2Ax+%2B+15%29+ ALIGN=MIDDLE  ALT=\"+graph%28+500%2C+500%2C+-20%2C+160%2C+-5%2C+20%2C+%28-1%2F10%29%2Ax+%2B+15%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Notice that when <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d+=+80 ALIGN=MIDDLE  ALT=\"d+=+80\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=v+=+7 ALIGN=MIDDLE  ALT=\"v+=+7\"   DISABLED_style= \"max-width:90%; height:auto;\" > and<BR>\n" );
document.write( "when <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d+=+150 ALIGN=MIDDLE  ALT=\"d+=+150\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=v+=+0 ALIGN=MIDDLE  ALT=\"v+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );