An Intuitive Solution to the Ant on Rubber Rope Paradox

Описание

This video explores an informal and intuitive solution to the ant on a rubber rope paradox. The paradox is as follows: An ant starts to crawl along a taut rubber rope 1 km long at a speed of 1 cm per second (relative to the rubber it is crawling on). At the same time, the rope starts to stretch uniformly at a constant rate of 1 km per second, so that after 1 second it is 2 km long, after 2 seconds it is 3 km long, etc. Will the ant ever reach the end of the rope?

Links to mathematical solutions:
Using harmonic series (Vsauce2): https://www.youtube.com/watch?v=OM9KepKsg6U
Using differential equation: https://www.youtube.com/watch?v=2Kw8DvM5RcM

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