A particle moves from the point $( 2.0 \hat { i } + 4.0 \hat { j } ) \mathrm { m }$, at $\mathrm { t } = 0$, with an initial velocity $( 5.0 \hat { i } + 4.0 \hat { j } ) \mathrm { ms } ^ { - 1 }$. It is acted upon by a constant force which produces a constant acceleration $( 4.0 \hat { i } + 4.0 \hat { j } ) \mathrm { ms } ^ { - 2 }$. What is the distance of the particle from the origin at time 2 s ?
(1) 15 m
(2) $20 \sqrt { 2 } \mathrm {~m}$
(3) 5 m
(4) $10 \sqrt { 2 } \mathrm {~m}$