A particle moves from the point ( \( 2.0 \hat{\mathbf{i}}+4.0 \hat{...

A particle moves from the point ( \( 2.0 \hat{\mathbf{i}}+4.0 \hat{\mathbf{j}} \) ) \( \mathrm{m} \) at \( t=0 \) with an initial velocity \( (5.0 \hat{\mathbf{i}}+4.0 \hat{\mathbf{j}}) \mathrm{ms}^{-1} \). It is acted upon by a constant force which produces a constant acceleration \( (4.0 \hat{\mathbf{i}}+4.0 \hat{\mathbf{j}}) \mathrm{ms}^{-2} \). What is the distance of the particle from the origin at time \( 2 \mathrm{~s} \) ?
(2019 Main, 11 Jan II)
(a) \( 5 \mathrm{~m} \)
(b) \( 20 \sqrt{2} \mathrm{~m} \)
(c) \( 10 \sqrt{2} \mathrm{~m} \)
(d) \( 15 \mathrm{~m} \)