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Is it possible to derive the equation p = ymv, and hence based on this, kinetic energy formula, without referring to 4-vectors or 2-dimensional collisions, that is derive it in one dimension?

I tried this website/pdf but the mathematics is beyond my understanding. So could some one either explain the pdf, or derive the equation themselves?

Thanks.

Here is the link:

http://arxiv.org/pdf/physics/0402024.pdf

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# Derivation of relativistic momentum

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