document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1187897>Question 1187897</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A particle travels in a straight line in such a way that; t seconds after passing through a fixed point 0, its displacement from 0 is s metres. Given that s=4-8/(t+2) find:\r<BR>\n" );
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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.<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #818935 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=818935\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A particle travels in a straight line in such a way that; t seconds after passing through a fixed point 0, its displacement from 0 is s metres. <BR>\n" );
document.write( "Given that s=4-8/(t+2) find:\r<BR>\n" );
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document.write( "i) Expression in terms of t, for the velocity and acceleration of the particle.<BR>\n" );
document.write( "Speed is the first derivate of displacement.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s=4-8%2F%28t%2B2%29+=+4+-+8%28t%2B2%29%5E-1 ALIGN=MIDDLE  ALT=\"s=4-8%2F%28t%2B2%29+=+4+-+8%28t%2B2%29%5E-1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ds%2Fdt+=+-8%2A%28-1%29%2A%28t%2B2%29%5E-2+=+8%2F%28t%2B2%29%5E2 ALIGN=MIDDLE  ALT=\"ds%2Fdt+=+-8%2A%28-1%29%2A%28t%2B2%29%5E-2+=+8%2F%28t%2B2%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "ii) The value of t when the velocity of the particle is 0.125m/s<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%2F%28t%2B2%29%5E2+=+0.125 ALIGN=MIDDLE  ALT=\"8%2F%28t%2B2%29%5E2+=+0.125\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8+=+0.125%28t%2B2%29%5E2 ALIGN=MIDDLE  ALT=\"8+=+0.125%28t%2B2%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(t+2)^2 = 64<BR>\n" );
document.write( "t+2 = 8<BR>\n" );
document.write( "t = 6<BR>\n" );
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document.write( "iii) The acceleration of the particle when it is 3.5m from 0.<BR>\n" );
document.write( "accel is the 2nd derivative of displacement.\r<BR>\n" );
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