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A 81 kg astronaut and a 1600 kg satellite are at rest relative to the space shuttle. The astronaut pushes on the satellite, giving it a speed of 0.24...

A 81 kg astronaut and a 1600 kg satellite are at rest relative to the space shuttle. The astronaut pushes on the satellite, giving it a speed of 0.24 m/s directly away from the shuttle. Seven-and-a-half seconds later the astronaut comes into contact with the shuttle. What was the initial distance from the shuttle to the astronaut?

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