# Elementary physics goes boink.

Consider a one dimensional collision between two point masses with different masses $$m_1$$ and $$m_2$$ and initial velocities $$v_1$$ and $$v_2$$. We define the ratio $$r$$ as the ratio of the difference in initial velocities to the difference in final velocities:

$$r=\frac{|v_{1,i}-v_{2,i}|} {|v_{1,f}-v_{2,f}|}$$.

What is $$r$$ if the collision is perfectly elastic?

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