APFIVE 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 $$\displaystyle t = 2$$?
A
$$\displaystyle 1.847$$
B
$$\displaystyle 3.225$$
C
$$\displaystyle 4.183$$
D
$$\displaystyle 2.596$$
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