So I get what you’re saying, but it is maybe not the optimal example.
Unlike lift, which is very well understood but often poorly explained.
That's easy! It pushes air down, and the reaction force is what we call lift!
... now, why it pushes air down... there be many computational fluid dynamics PhDs... though "angle of attack" covers a lot, and the rest is just efficiency tweaks.
Good question for teachers who insist it's the Bernoulli Principle: "But my paper airplane has flat wings and flies just fine!" toss across classroom
(There's no rider however)
http://ruina.tam.cornell.edu/research/topics/bicycle_mechani...
I always adore the split between how my brain does things instinctually, but making it arbitrary completely demolishes the 'natural' flow of it. Same with complex ball throwing / bouncing trajectory calculations.
It also immediately makes me angry about how we teach math. When you learn about powers (squares, cubes, roots, etc), these things are just written out as arbitrary concepts instead of displaying them geometrically.
Hell, when I was first taught the Pythagorean theorem, it was just explained by drawing a triangle with A² + B² = C², without also drawing out the related squares of each side. Immediately doing that would instill so much more intuition into the math. In general, mathematical concepts gain so much clarity by doing them geometrically.
I mean, squares and cubes are just multiplication by the same factor: I distinctly remember even trapezoid surfaces, pyramid volumes being demonstrated by chopping and piecing parts together.
I could understand that in high school and uni when you need to move past "intuitive" maths into abstractions, but I'd be perplexed if this is really the "program", and not just an individual teacher (and surely, a big chunk of them too)!
But I have a big collection of math textbooks from all over the world, and math 6, pre-algebra and algebra texts in the US have far less geometrical content and pictures than the non-US equivalents that I have. I also think that the increased emphasis on getting students through standardized tests ended up dedicating a lot of class time towards rote with short term benefits.