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 #155361 by </B><A HREF=/tutors/aboutme.mpl?userid=nerdybill><B>nerdybill(7384)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nerdybill><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=nerdybill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=155361\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Since<BR>\n" );
document.write( "S(t) = t^3 + 2t^2<BR>\n" );
document.write( "describes the distance<BR>\n" );
document.write( "then the derivative is the speed:<BR>\n" );
document.write( "S'(t) = 3t^2 + 4t<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Now, we can plug it into:<BR>\n" );
document.write( "E = mv^2/2<BR>\n" );
document.write( "E = (2.4)(3t^2 + 4t)^2/2<BR>\n" );
document.write( "You can expand the above... </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );