A cord passing over a frictionless, massless pulley (Atwood's machine) has a $m_2 =$ 10-kg block tied to one end and a $m_1 =$ 12-kg block tied to the other. If at the end of 3 seconds the string is cut, find the distances moved by the masses $d_1$ and $d_2$ in the next 6 seconds.

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