After restitution

Two carts \(A\) and \(B\) connected by a compressed spring are moving at a constant speed of \(3\) m/s on a frictionless floor as shown above left. At a certain moment, the compression of the spring is released, separating the two carts as shown above right. The masses of \(A\) and \(B\) are \(1\) kg and \(2\) kg, respectively, and the velocity of \(A\) after the restitution of the spring is \(1\) m/s. What is the velocity of \(B\) after the restitution of the spring? (Ignore air resistance and the mass of the spring, and assume the direction of the red arrows is the positive(+) direction.)

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