To all, thank you for participating.
You may see my objective. To me this seems to be the first question in a discussion of determinism. So is it philosophical? At least a part of it is probably philosophical. That doesn't make it a bad question.
So another version of the question...
Thank you for your prompt reply. I should have been clearer.
Before any attempt to perform any observation of a particle, at some instant in time is its velocity a single value?