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A spaceship with a mass of 31,000 kg is traveling at 12,000 m/s away from Earth when it discards its booster rocket. The booster rocket

A spaceship with a mass of 31,000 kg is traveling at 12,000 m/s away from Earth when it discards its booster rocket. The booster rocket (mass 24,000 kg) is separated and sent back towards Earth at 311 m/s. What is the speed (in m/s) of the rest of the spaceship away from Earth just after separation?

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