Meriam, Kraige & Bolton — Kinetics of Particles: Problem 3_145

3/145 A 0.2-kg particle is moving with a velocity \(\mathbf{v}_1 = \mathbf{i} + \mathbf{j} + 2\mathbf{k}\) m/s at time \(t_1 = 1\) s. If the single force \(\mathbf{F} = (5 + 3t)\mathbf{i} + (2 - t^2)\mathbf{j} + 3\mathbf{k}\) N acts on the particle, determine its velocity \(\mathbf{v}_2\) at time \(t_2 = 4\) s.