A body of mass \(2\) kg moving with velocity of \({\vec{\mathrm{v}}}_{\mathrm{in}}=3\overset{^}{\mathrm{i}}+4\overset{^}…

A body of mass \(2\) kg moving with velocity of \({\vec{\mathrm{v}}}_{\mathrm{in}}=3\overset{^}{\mathrm{i}}+4\overset{^}{\mathrm{j}}{\mathrm{ms}}^{-1}\) enters into a constant force field of \(6\) N directed along positive z -axis. If the body remains in the field for a period of \(\frac{5}{3}\) seconds, then velocity of the body when it emerges from force field is

[JEE Main 2025, 8 Apr (Shift 1)]