If we have a fly in a room, its position respect to some frame of reference will change with time, so if we want to describe the fly's movement with a parametrized curve, it is easy to see the convenience of taking time as the parameter.(adsbygoogle = window.adsbygoogle || []).push({});

I read that we can also take the length of the curve as a parameter and it is not dificult to follow formally the equations by which we put the original parameter -time- in terms of this new parameter. My question is: when or why is better to work with arc length as parameter, instead of time?

Thanks in advance.

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# When we use arc length as a parameter

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