A body of mass 4 kg moves under the action of a force $$\vec{F} = (4\hat{i} + 12t^2\hat{j})$$ N, where $$t$$ is the time in second. The initial velocity of the particle is $$(2\hat{i} + \hat{j} + 2\hat{k})\ \text{ms}^{-1}$$. If the force is applied for 1 s, work done is

A

4 J

B

8 J

C

12 J

D

16 J