Multi Calc, Lec 11A: Arc Length Parameterization Example

Find an arc length parameterization of the parametric curve defined by the parametric equations x=t, y=(2/3)t^(3/2). This is also called a unit speed parameterization or a parameterization by arc length s. We can find it by using the inverse function of the arc length (distance) as a function of time. Arc length parameterization is important for defining curvature. There is a mistake in checking it with Mathematica: I should have done r1'[s].r1'[s]. Infinite Powers, How Calculus Reveals the Secrets of the Universe: https://amzn.to/37PBMjb.

Multivariable Calculus, Lecture 11A

#MultivariableCalculus #arclength #ParametricCurve

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