document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1119869>Question 1119869</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If s = t^3-5t^2+5t-3, when will the velocity be at 2? </SPAN>\n" );
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document.write( "s = t^3-5t^2+5t-3<br><BR>\n" );
document.write( "v = ds/dt = 3t^2-10t+5<br><BR>\n" );
document.write( "Solve to find when v = 2:<br><BR>\n" );
document.write( "3t^2-10t+5 = 2<BR>\n" );
document.write( "3t^2-10t+3 = 0<BR>\n" );
document.write( "(3t-1)(t-3) = 0<br><BR>\n" );
document.write( "The velocity will be 2 when t=1/3 and when t=3.<br><BR>\n" );
document.write( "A graph of the velocity function, showing that v=2 at t=1/3 and at t=3:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C400%2C-2%2C4%2C-5%2C10%2C3x%5E2-10x%2B5%2C2%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C400%2C-2%2C4%2C-5%2C10%2C3x%5E2-10x%2B5%2C2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );