There's a recurring theme of ignorance in the upper forums regarding Newton's Laws of Motion. His first major work, Philosophia naturalis principia mathematica, describes three fundamental laws of motion. The concept that FEer seem to struggle to handle and properly apply is acceleration. Even TheEngineer used to argue that acceleration was relative. It is not. Location is relative since there is no intrinsic coordinate system. Velocity is relative. In the thought experiment with two ships, altogether alone in the Universe, passing each other, observers on each ship can't determine which ship is in motion.
However, you know whether you're accelerating. You feel the force involved. You feel your weight on Earth. You fell the merry-go-round pulling you towards its center. You feel the airplane turning, rising, or dropping. So the argument that planes just "fly around" to delay their arrival fails quickly: The passengers would feel (and see) the turns and bust the required conspiracy.
Another problem FEers tend to have is trying to bash noobs with the circumnavigation argument. FEers argue that you can travel "around" the Earth, say on the Equator by traveling due east. Yes, on the FE that's a curved path, but you'd travel a curved path if you flew due east on the RE too. This fails: the passengers can detect the curved path. The pilot must steer the rudder to maintain the curved path. They would break the conspiracy. (Oh, and no, it's not a curved path on the RE, ignored changing in altitude. One needs only remember that a straight line on the surface of sphere follows the surface, just like the plane would. Indeed on an RE, the pilots and passenger would not feel any "curvature".)
One more lesson for this post: the term acceleration should be used carefully, in its scientific context. For example, to Thorks's slow acceptance, you can travel away from something, yet accelerate towards it. The ISS, for example, accelerates toward the gravitational center of the RE but never travels towards it. To Tom Bishop's chagrin, acceleration is the change in velocity, in speed, direction, or both. It does not mean going fast (or slow).