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I guess I see no advantage in so doing but what you said later sure-- The scalar acceleration has to do with speed. Speed is the
forward component of velocity.
I am accustomed to velocity having components, x and y or tangential
and radial
OK.
but forward?
Why not? If we can define the forward direction,
we can project off a component in that direction,
nicht wahr?
Then I would call that acceleration and I thought you said the
Is that in the instantaneous direction of the vector?
Yes.
Will that not be differentially different in the next
differentially different time?
Yes, it will be different.