A mass of \(2m\) kg is suspended from the string on one side while two masses of \(m\) kg are on the other side as shown.

The system starts at rest. Suddenly, the lower mass of \(m\) kg is flicked up with velocity 40 m/s.

After how many seconds will the rope be taut again?

**Details**

- \(g = 10\text{ m/s}^2\)
- Assume the rope is very long and the masses do not collide.

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