Planar motion (differential calc)

A particle moves in the $xy$x, y-plane so that at any time $t\geq 0$t, is greater than or equal to, 0 its coordinates are $x=3t+2$x, equals, 3, t, plus, 2 and $y=2t^3-2t+4$y, equals, 2, t, cubed, minus, 2, t, plus, 4.