The NASA site says what I did above, essentially. It doesn't get that deeply into it, just as most college textbooks don't really explain magnetism, but stop at the point where they have explained how a magnet is made.
Using the "Newton" method alone stops short of the "why", which is the fundamental problem with using the explanation. Of course, the simplistic approach to Bernoulli that most aviation books use (even ones like Aero for Naval Aviators) falls even shorter!
So, as long as you don't care about "why", you're fine. It's like explaining how an untied balloon will shoot around the room. Can you explain where the force that is actually moving that balloon comes from? It's surprisingly simple and does not even require someone to know who Newton was!
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