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A 92kg astronaut and a 1.2E3kg satellite are at rest relative to the space shuttle. The astronaut pushes on the satellite, giving a speed of 0.14m/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?

Conservation of momentum applies. You knwo the momentum of the satellite (mv), so the momentum of the man is the same. Calculate his velocity, then distance from distance= velocity*time

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