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Impulse with Constant Velocity

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An 79.1 kg astronaut is working on the engines of his ship, which is drifting through space with a constant velocity. The astronaut, wishing to get a better view of the Universe, pushes against the ship and much later finds himself 30.4 m behind the ship. Without a thruster, the only way to return to the ship is to throw his 0.505 kg wrench directly away from the ship. If he throws the wrench with a speed of 20.5 m/s relative to the ship, how long does it take the astronaut to reach the ship?

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Solution Summary

This solution uses the concepts of momentum to determine the time taken for the astronaut to reach the ship. All equations and workings shown for further understanding.

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