document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1142313>Question 1142313</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Calculus Question\r<BR>\n" );
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document.write( "5.  A particle moves according to the law of motion <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s=t%5E3-12t%2B3%2C+t%E2%89%A50+ ALIGN=MIDDLE  ALT=\"+s=t%5E3-12t%2B3%2C+t%E2%89%A50+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, where t is measured in seconds and s in feet. Find the total distance traveled by the particle in the <BR>\n" );
document.write( "first 3 seconds.\r<BR>\n" );
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document.write( "(a) 21ft.<BR>\n" );
document.write( "(b) 22ft.<BR>\n" );
document.write( "(c) 23ft.<BR>\n" );
document.write( "(d) 24ft.<BR>\n" );
document.write( "(e) None of these are correct </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #763070 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13198)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=763070\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C400%2C-1%2C4%2C-15%2C5%2Cx%5E3-12x%2B3%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C400%2C-1%2C4%2C-15%2C5%2Cx%5E3-12x%2B3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "The graph of the function between t=0 and t=3 shows that the function value is 3 and decreasing at t=0, and -6 and increasing at t=3.<br><BR>\n" );
document.write( "That means there is a local minimum between t=0 and t=3.<br><BR>\n" );
document.write( "Calculus shows that minimum (where the derivative is zero) is -13, at t=2. (Or you can use a graphing calculator to find the minimum.)<br><BR>\n" );
document.write( "So the particle travels from 3 to -13 and then from -13 to -6.  That gives one of the given answer choices. </SPAN>\n" );
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