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For questions about mathematical problems arising from physics, the natural science studying general properties of matter, radiation and energy.

26 votes
2 answers
2k views

Runner's High (Speed)

I find the following mind-boggling. Suppose that runner $R_1$ runs distance $[0,d_1]$ with average speed $v_1$. Runner $R_2$ runs $[0,d_2]$ with $d_2>d_1$ and with average speed $v_2 > v_1$. I would …
Dominic van der Zypen's user avatar
5 votes
0 answers
126 views

Particles sent into the same direction with uniformly distributed speed

Fix a positive integer $n$. Every second, a particle is sent along a straight line from a fixed position in a fixed direction, at a random integer speed chosen uniformly in $\{1,\ldots, n\}$ meters pe …
Dominic van der Zypen's user avatar