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A rocket expels exhaust at a rate of 50 m/s for 50 seconds. The rocket weighs...

A rocket expels exhaust at a rate of 50 m/s for 50 seconds. The rocket weighs 15,000 kg when empty. The rocket can hold 120,000 kg of fuel. At rest, weightless:

1. What speed is the rocket traveling when all the fuel is gone
2. How fast is the rocket traveling when only 30,000 kg of fuel has been used
3. When the rocket reaches 40 m/s how much fuel is left
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