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?
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.