document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=988127>Question 988127</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The displacement of a body from the origin O, at time t seconds is \r<BR>\n" );
document.write( "\n" );
document.write( "x = &#8722;1&#8722;4 t^3+8 t^2+t metres\r<BR>\n" );
document.write( "\n" );
document.write( "Find the velocity and acceleration when t = 3. <BR>\n" );
document.write( "velocity (m/s): \r<BR>\n" );
document.write( "\n" );
document.write( "acceleration (m/s^2)\r<BR>\n" );
document.write( "\n" );
document.write( "I think I need to differentiate, but I'm unsure\r<BR>\n" );
document.write( "\n" );
document.write( "THANK YOU </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #608819 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=608819\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Yes, you do need to differentiate.<BR>\n" );
document.write( "Velocity is the first derivative of displacement with respect to time and acceleration is the second derivative.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=v=dx%2Fdt=-12t%5E2%2B16t%2B1 ALIGN=MIDDLE  ALT=\"v=dx%2Fdt=-12t%5E2%2B16t%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=dv%2Fdt=-24t%2B16 ALIGN=MIDDLE  ALT=\"a=dv%2Fdt=-24t%2B16\"   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;\" >,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=v%283%29=+-12%283%29%5E2%2B16%283%29%2B1+=-108%2B48%2B1=-59 ALIGN=MIDDLE  ALT=\"v%283%29=+-12%283%29%5E2%2B16%283%29%2B1+=-108%2B48%2B1=-59\"   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( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%283%29=+-24%283%29%2B16=-72%2B16=-56 ALIGN=MIDDLE  ALT=\"a%283%29=+-24%283%29%2B16=-72%2B16=-56\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m%2Fs%5E2 ALIGN=MIDDLE  ALT=\"m%2Fs%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );