Motorcycle Safety

A person, of mass mm, traveling on an indestructible motorcycle, of mass MM, at a constant speed of vv collides elastically with an indestructible car that is not moving; what is the furthest this person will land from the motorcycle?

Details and Assumptions:

  • To make the problem easier assume there is no resistance and disregard the possible height difference between the feet and the ground.
  • Assume the motorcyclist launches at an angle θ=π/4\theta = \pi/4.
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