Consider a velocity which is a function of position r, which does not vary linearly with time.(adsbygoogle = window.adsbygoogle || []).push({});

Consider a body moving with this varying velocity between distance r1 to r2.

Let us define the average velocity between r1 and r2 as (r2-r1)/time taken to travel between r2 and r1.

I assumed the average would be found by:

Integral[ v(r) dr {r2, r1}] / Integral [dr {r2, r1}]

But this formula does not seem to work. Are there any special cases where this formula is not sufficient?

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# Homework Help: Weighted average

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