document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=205740>Question 205740</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi all, thanks for all your help so far; ive almost gotten through my vectors stuff, but I need help with the following question:<BR>\n" );
document.write( "A particle with mass m = 2.5 is moving along a straight trajectory. The distance covered by a particle is described by the function S(t) = t^3 + 2t^2 where t>0 is the time.<BR>\n" );
document.write( "a) Kinetic Energy E of a particle is given by E = mv^2/2, where v is the particle speed. Find a function that describes the kinetic energy of this particle.<BR>\n" );
document.write( "I know its a little long, I cant seem to make sense of it thouh, so any help will be awesome.<BR>\n" );
document.write( "Thnaks, -Nick.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #728983 by </B><A HREF=/tutors/aboutme.mpl?userid=amalm06><B>amalm06(224)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=amalm06><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=amalm06><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=728983\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s%28t%29=t%5E3%2B2t%5E2 ALIGN=MIDDLE  ALT=\"s%28t%29=t%5E3%2B2t%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > (Position function) \r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=v%28t%29=3t%5E2%2B4t ALIGN=MIDDLE  ALT=\"v%28t%29=3t%5E2%2B4t\"   DISABLED_style= \"max-width:90%; height:auto;\" > (Instantaneous velocity at any time t)\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=E=%281%2F2%29%2Am%2Av%5E2=%281%2F2%29%282.5%29%283t%5E2%2B4t%29%5E2 ALIGN=MIDDLE  ALT=\"E=%281%2F2%29%2Am%2Av%5E2=%281%2F2%29%282.5%29%283t%5E2%2B4t%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > (Kinetic energy of particle) \r<BR>\n" );
document.write( "\n" );
document.write( "             =<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F2%29%282.5%29%289t%5E4%2B24t%5E3%2B16t%5E2%29 ALIGN=MIDDLE  ALT=\"%281%2F2%29%282.5%29%289t%5E4%2B24t%5E3%2B16t%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "             =<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281.2%29%289t%5E4%2B24t%5E3%2B16t%5E2%29 ALIGN=MIDDLE  ALT=\"%281.2%29%289t%5E4%2B24t%5E3%2B16t%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "             =<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10.8t%5E4%2B28.8t%5E3%2B19.2t%5E2 ALIGN=MIDDLE  ALT=\"10.8t%5E4%2B28.8t%5E3%2B19.2t%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > (Answer)  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );