The masses of the blue ball (#\(10\)) and the purple ball (#\(12\)) are \(2\) kg and \(1\) kg, respectively. Now, the blue ball with a velocity of \(4\) m/s collides with the purple ball which was standing still. After the collision, the blue ball keeps moving in the same direction with a reduced velocity of \(2\) m/s. What is the velocity of the purple ball after the collision?

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