- #1
natski
- 267
- 2
Consider a velocity which is a function of position r, which does not vary linearly with time.
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?
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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