Particle Position From Velocity Vector

At time $\displaystyle t \ge 0$, a particle moving in the $xy$-plane has velocity vector given by $\displaystyle \mathbf{v}(t) = \left\langle \frac{1}{t+1},\,t e^{-t} \right\rangle$. If the particle is at the point $\displaystyle (-1, 2)$ at time $\displaystyle t = 0$, how far is the particle from the origin at time $\displaystyle t = 2$?