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A general remark on this thread. I think that people are relying too muchsnip
on Newton's laws as the foundation of mechanics. Newton provided only one
of many alternative foundations. Any argument that relies only on
Newton's laws is bound to be suspect.
Think instead of using variational principles (least action and least
time) formulations of mechanics.
Hardly at the ninth grade level. Feynman's high school physics
The downside to this way of proceeding is that nobody in its right
mind wants to introduce calculus of variations and functional thinking to
high school freshmen.