Answer
The x-component of the position vector is $12.0~m$ east
The y-component of the position vector is $40.0~m$ north
Work Step by Step
We can find the x-component of the position vector at $t = 2.0~s$:
$x = x_0+v_{0x}~t+\frac{1}{2}a_xt^2$
$x = 2.0~m+0+\frac{1}{2}(5.0~m/s^2)(2.0~s)^2$
$x = 12.0~m$ (east)
The x-component of the position vector is $12.0~m$ east
We can find the y-component of the position vector at $t = 2.0~s$:
$y = y_0+v_{0y}~t+\frac{1}{2}a_yt^2$
$y = 0+(20~m/s)(2.0~s)+0$
$y = 40.0~m$ (north)
The y-component of the position vector is $40.0~m$ north
