\textbf{164.} A 2\,kg mass is tied to a light rope and rotated upward with acceleration $2\,\dfrac{\text{m}}{\text{s}^2}$. If we cut the rope and make the acceleration of the body twice as large, the acceleration of the body becomes how many times? $\left(g = 10\,\dfrac{\text{m}}{\text{s}^2}\right)$
(1) $14$ \qquad (2) $7$ \qquad (3) $4$ \qquad (4) $2$