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I _would_ discuss what the observer feels. The students have experienced
the situation described above. They can relate to this and to their
'feelings' while on various carnival rides. You can use that experience to
then discuss the physics. If one is to analyze the non-inertial frame both
as viewed from an inertial frame and as viewed from within the accelerating
frame, then it seems to me that it is essential to analyze what the observer
'feels' in order to bring understanding to the situation.