document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1028019>Question 1028019</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need help with this problem:<BR>\n" );
document.write( " A particle moves down the x-axis so that its acceleration is given by a(t) = 6t - 2. If its velocity at t = 2 and its position at t = 0 is 2, develop the equations which express the particle's position and velocity as a function of t. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #643213 by </B><A HREF=/tutors/aboutme.mpl?userid=fractalier><B>fractalier(6550)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=fractalier><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=fractalier><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=643213\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Given a(t), we can integrate to find v(t)...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=v%28t%29+=+integral%28a%28t%29+dt%29+=+integral%286t+-+2%29+dt+=+3t%5E2+-+2t+%2B+C%5B1%5D ALIGN=MIDDLE  ALT=\"v%28t%29+=+integral%28a%28t%29+dt%29+=+integral%286t+-+2%29+dt+=+3t%5E2+-+2t+%2B+C%5B1%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now when t = 0, v = 2, so we can find the first constant...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C%5B1%5D+=+2 ALIGN=MIDDLE  ALT=\"C%5B1%5D+=+2\"   DISABLED_style= \"max-width:90%; height:auto;\" > so that<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=v%28t%29+=+3t%5E2+-+2t+%2B+2 ALIGN=MIDDLE  ALT=\"v%28t%29+=+3t%5E2+-+2t+%2B+2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now integrate once again to find position...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%28t%29+=+integral%283t%5E2+-+2t+%2B+2%29+dt+=+t%5E3+-+t%5E2+%2B+2t+%2B+C%5B2%5D ALIGN=MIDDLE  ALT=\"x%28t%29+=+integral%283t%5E2+-+2t+%2B+2%29+dt+=+t%5E3+-+t%5E2+%2B+2t+%2B+C%5B2%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now when t = 0, x = 2, we have<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C%5B2%5D+=+2 ALIGN=MIDDLE  ALT=\"C%5B2%5D+=+2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%28t%29+=+t%5E3+-+t%5E2+%2B+2t+%2B+2 ALIGN=MIDDLE  ALT=\"x%28t%29+=+t%5E3+-+t%5E2+%2B+2t+%2B+2\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );