Angle of Deflection in Elastic Collision

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StarWarsNerd
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This is the problem I am looking to solve: given two objects of different mass, find the angle of deflection after an elastic collision for each object.

For both objects we know:
  • m : Mass in Kilograms
  • θi : Initial Angle in Degrees
  • si : Initial Speed in Units per Second
  • sf : Final Speed in Units per Second
Looking For:
  • θf : Final Angle in Degrees
I have asked some of my colleagues at work how to do this without assuming one of the objects is stationary, and no one knew how, so I am curious if there is a formula or a way to derive the angle from this information.

SOLVED: I guess it is as simple as getting the slope from the position of the two objects then taking the arctan of that.
 
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Conservation of momentum with the 2 objects applies since there is no net force in this system of 2 objects. Can you go from there?