A particle starts at the origin of a Cartesian coordinate system and moves with a velocity vector \(v=2 \cos 2 t \mathbf{i}+3 \sin 2 t \mathbf{j}+0.4 \mathbf{k} \mathrm{m} / \mathrm{s}\).

(a) Determine the magnitude and direction of the particle's acceleration at \(t=\pi\) s.

(b) Determine the particle's position at \(t=\pi \mathrm{s}\).