On a static image, less than 1 frame per year would be sufficient.
On a static background with slow to medium speed object with a few pixels movement per second, 30 FPS is sufficient as the human brain can automatically fill in the gaps.
On a panning background with static objects the human brain can sometimes fill in the gaps and sometimes not which is why 60FPS or 60Hz is used as the so called benchmark.
On a panning background with fast moving objects the human eye cannot fill in the gaps so frames above 60FPS are useful as the extra frames will fill in the missing info that the brain cannot fill in.
Ever noticed stutter at the cinema or on a TV broadcast??... there is insufficient intermediate detail per frame in a lot of panning shots or fast action so the brain sees a stutter.
This is why above 60FPS even at 60hz looks smoother, because there are more frames available to fill in per screen refresh so the motion looks smoother and more fluid and natural as there are more pixels per inch available to render for panning and moving objects.
I will try to find a graphic to illustrate this.
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