document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1187850>Question 1187850</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A particle travels in a straight line in such a way that,t seconds after passing<BR>\n" );
document.write( "through a fixed point 0, it's displacement from 0 is s metres. Given that <BR>\n" );
document.write( "s=4-8(t+2)^-1,find<BR>\n" );
document.write( "i) Expression in terms of t, for the velocity and acceleration of the particle.<BR>\n" );
document.write( "ii) The value of t when the velocity of the particle is 0.125m/s.<BR>\n" );
document.write( "iii) The acceleration of the particle when it is 3.5m from 0. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #819091 by </B><A HREF=/tutors/aboutme.mpl?userid=Solver92311><B>Solver92311(821)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Solver92311><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=Solver92311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=819091\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "i) The velocity function is the first derivative of the displacement function, so <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large v(t)\ =\ \frac{ds}{dt}\">.  The acceleration function is the first derivative of the velocity function or the<BR>\n" );
document.write( "second derivative of the displacement function, <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large a(t)\ =\ \frac{dv}{dt}\ =\ \frac{d^2s}{dt^2}\">.\r<BR>\n" );
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document.write( "ii) Set the velocity function equal to 0.125 m/s and solve for <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large t\">\r<BR>\n" );
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document.write( "iii) Set the displacement function equal to 3.5 m and solve for <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large t_{3.5}\">.  Then evaluate <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?a\(\Large t_{3.5}\)\">\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi}\ +\ 1\ =\ 0\"><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
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document.write( "From <https://www.algebra.com/cgi-bin/upload-illustration.mpl> <BR>\n" );
document.write( "I > Ø<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \ \\r\"> </SPAN>\n" );
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