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[Phys-L] Re: A problem of motion and derivatives



I guess I would argue that while Bob is correct mathematically, physically
you still can't have a changing velocity and a zero acceleration.

I'd go a little further. It isn't correct physically *or*
mathematically to suppose that you can have a "changing velocity" and
zero acceleration. If the velocity "is changing" then the
acceleration "is not zero" by definition. In the case that Bob
constructed, the velocity of the object was *not* "changing" at the
instant it reached the highest point of its trajectory. That does
not obviate the point that the velocity "changes" over ANY non-zero
time interval centered on the top of the trajectory.

[STANDARD WARNING: Those with reading levels less than that of a
person with 11.46 years of education will not be able to comprehend
the above. ;-) ]

--
John "Slo" Mallinckrodt

Professor of Physics, Cal Poly Pomona
<http://www.csupomona.edu/~ajm>

and

Lead Guitarist, Out-Laws of Physics
<http://www.csupomona.edu/~hsleff/OoPs.html>
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