$A$ 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
    $2 \hat{i} + 2\sqrt{3} \hat{k}$

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