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The laws of physics in this case are invariant regardless of frame of reference.
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Ok. Let's try that assertion out with a question. Why in the frame of reference of the rock does the centrifugal force act on the rock when in an inertial frame the centrifugal force acts on the boy?
A non-inertial frame of reference changes everything. Forces appear like the ones which the camera on the rock shows affecting the trees and the grass. It becomes a mess. The simple reason I wish to keep things in a non-rotating reference frame is because physics in a rotating frame is so complicated, but will after a lot of hard work provide the same answers (for the ball) as in an inertial frame.
Newton's law that "an object at rest will remain at rest unless a resultant force is applied" becomes "an object at rest will only remain at rest if a centripetal force is applied". See what I mean?
I have no problem if you wish to disagree, but be so kind as to point out the error in what I say rather than discussing motives and making condecending remarks like "it's nice that you learned your physics in a different way".
I will, however, be very interested in reading your explanation of the physics of the throw out effect in a non-inertial frame of reference if you want to discuss it.