document.write( "Question 964650: The x- and y-coordinates of a moving particle are given by two parametric equations.
\n" ); document.write( "x = 3t2 + t
\n" ); document.write( "y = 2 – 6t \r
\n" ); document.write( "\n" ); document.write( "Find the magnitude and direction of velocity at t = 3 sec. Distance is measured in meters. Round your answers to one decimal place and don't forget to use the degree symbol.
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #589496 by Fombitz(32388)\"\" \"About 
You can put this solution on YOUR website!
\"dx%2Fdt=6t%2B1\"
\n" ); document.write( "\"dx%2Fdt=6%283%29%2B1\"
\n" ); document.write( "\"dx%2Fdt=18%2B1\"
\n" ); document.write( "\"dx%2Fdt=19\"
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( "\"dy%2Fdt=-6\"
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( "\"abs%28V%29=sqrt%28%28dx%2Fdt%29%5E2%2B%28dy%2Fdt%29%5E2%29\"
\n" ); document.write( "\"abs%28V%29=sqrt%2819%5E2%2B%28-6%29%5E2%29\"
\n" ); document.write( "\"abs%28V%29=sqrt%28361%2B36%29\"
\n" ); document.write( "\"abs%28V%29=sqrt%28397%29\"\"m%2Fs\"
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( "\"theta=tan%5E%28-1%29%28%28dy%2Fdt%29%2F%28dx%2Fdt%29%29\"
\n" ); document.write( "\"theta=tan%5E%28-1%29%28-6%2F19%29\"
\n" ); document.write( "\"theta=342.5\"\"degrees\"
\n" ); document.write( "
\n" ); document.write( "
\n" );