First I obviously (again) have to make the statement:
My first language is not English - but English is the first
scientific language. So please do not exclude non English
natives from a scientific forum. I do understand the problem
in general. So the rule of humbleness is asked for also here.
The problem of math versus "pure physics" follows:
Velocity is the division of length versus time both in general, m / t
and also by momentum, dm / dt.
Already here we can see a difference between physics and mathematics.
m / t ; is the average speed as we all can see.
m is also the total length involved and t is the total time passed. Both normally
given with a good or acceptable accuracy. dm and dt are the momentums during
the total distance and time.
You can perhaps say that the momentum is the mathematical view of the velocity.
And that the total distance and time is the pure physical view of any speed.
One explanation for this is that dm and dt are often drawn from the totals involved.
And if the momentums are measured by technique these values can be misleading.
One or both may be given with major faults compared to the values of the totals.
You can be in Uzbekistan instead of Oxford Town as intended and by perception.
One can perhaps with this explanation state:
Math is the journey and physics is the destination.
Guys and pals, do we not find ourselves on our locations?