$A$ particle initially at the origin starts moving in the $xy$-plane with a velocity component $\vec{V} = (6 + 2t) \hat{i} + (4 + 2\sqrt{3}t) \hat{j} \text{ m/s}$. The acceleration of the particle in $\text{m/s}^2$ is ($x, y$ are measured in meters, $t$ in seconds, respectively).

• A
  $(6 + 2t) \hat{i} + (4 + 2\sqrt{3}t) \hat{j}$
• B
  $(6 + 2t) \hat{i} + 2\sqrt{3} \hat{j}$
• C
  $2 \hat{i} + 2\sqrt{3} \hat{j}$
• D
  $2 \hat{i} + 2\sqrt{3} \hat{k}$