A two-stage rocket moves in space at a constant velocity, Physics

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A two-stage rocket moves in space at a constant velocity

A two-stage rocket moves in space at a constant velocity of +4300 m/s. The two stages are then separated by a small explosive charge placed between them. Immediately after the explosion the velocity of the 1130-kg upper stage is +5810 m/s. What is the velocity (magnitude and direction) of the 2780-kg lower stage immediately after the explosion?

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