Discussion
For a curve parametrised by arc length, \( |d\mathbf{r}/ds| \) equals
Answer: C
Arc length is measured along the curve itself, so a unit change of \( s \) moves a unit distance and
\[ \left|\frac{d\mathbf{r}}{ds}\right| \;=\; 1. \]
This is what makes the arc-length parametrisation convenient: the derivative *is* the unit tangent, with no normalising required, and its own derivative then gives the curvature directly
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