document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1081862>Question 1081862</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A particle moves in a straight line so that its distance, s m, from a fixed point A on the line is given by s=2t^2-4t+9, for t less than or equal to 3, where t is the time in seconds after passing through a point B on the line. <BR>\n" );
document.write( "(a) the total distance travelled by the particle in the period of t=0 to t=3. Ans=10m<BR>\n" );
document.write( "(b) At t=3, the acceleration of the particle is changed to (t &#8722; 8)m/s2 , the instantaneous velocity remaining unchanged. Find the next value of t at which the particle comes to instantaneous rest. Ans= 5s  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #695959 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=695959\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a)<BR>\n" );
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document.write( "Looking at the graph, the particle travels from 9 to 7 in the 1st second, from 7 to 9 in the 2nd second and from 9 to 15 in the 3rd second.<BR>\n" );
document.write( "So it traveled,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D=abs%287-9%29%2Babs%289-7%29%2Babs%2815-9%29=2%2B2%2B6=10 ALIGN=MIDDLE  ALT=\"D=abs%287-9%29%2Babs%289-7%29%2Babs%2815-9%29=2%2B2%2B6=10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m ALIGN=MIDDLE  ALT=\"m\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "b) Find the instantaneous velocity when <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=3 ALIGN=MIDDLE  ALT=\"t=3\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=v=ds%2Fdt=4t-4=4%283%29-4=12-4=8 ALIGN=MIDDLE  ALT=\"v=ds%2Fdt=4t-4=4%283%29-4=12-4=8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m%2Fs ALIGN=MIDDLE  ALT=\"m%2Fs\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So then integrate the new acceleration to get the new velocity,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=v=int%28a%2Cdt%2Ct=3%2Ct%29=int%28%28t-8%29%2Cdt%2Ct=3%2Ct%29=t%5E2%2F2-8t%2BC ALIGN=MIDDLE  ALT=\"v=int%28a%2Cdt%2Ct=3%2Ct%29=int%28%28t-8%29%2Cdt%2Ct=3%2Ct%29=t%5E2%2F2-8t%2BC\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "When <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=3 ALIGN=MIDDLE  ALT=\"t=3\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=v=8 ALIGN=MIDDLE  ALT=\"v=8\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8=%283%29%5E2%2F2-8%283%29%2BC ALIGN=MIDDLE  ALT=\"8=%283%29%5E2%2F2-8%283%29%2BC\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8=9%2F2-24%2BC ALIGN=MIDDLE  ALT=\"8=9%2F2-24%2BC\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C=32-9%2F2 ALIGN=MIDDLE  ALT=\"C=32-9%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C=64%2F2-9%2F2 ALIGN=MIDDLE  ALT=\"C=64%2F2-9%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C=55%2F2 ALIGN=MIDDLE  ALT=\"C=55%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=v%28t%29=t%5E2%2F2-8t%2B55%2F2 ALIGN=MIDDLE  ALT=\"v%28t%29=t%5E2%2F2-8t%2B55%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%3E=3 ALIGN=MIDDLE  ALT=\"t%3E=3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Graphing this and looking for the next crossing of the x-axis,<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=5 ALIGN=MIDDLE  ALT=\"t=5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s ALIGN=MIDDLE  ALT=\"s\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "You could also factor,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5E2%2F2-8t%2B55%2F2=0 ALIGN=MIDDLE  ALT=\"t%5E2%2F2-8t%2B55%2F2=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5E2-16t%2B55=0 ALIGN=MIDDLE  ALT=\"t%5E2-16t%2B55=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28t-5%29%28t-11%29=0 ALIGN=MIDDLE  ALT=\"%28t-5%29%28t-11%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=5 ALIGN=MIDDLE  ALT=\"t=5\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=11 ALIGN=MIDDLE  ALT=\"t=11\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
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