Equation of motion from a linear acceleration

A point moves along the $x$-axis with acceleration $a(t)=6t$, with $a$ in $m/{\mathrm{s}}^2$ and $t$ in seconds. At the instant $t=0$ it is at $x_0=1\mathrm{m}$ with velocity $v_0=-3m/s$. Determine the equation of motion and compute the position and the velocity at the instant $t=2\mathrm{s}$.