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The reason that movement looks smooth in films at 24fps is because of motion blur.

Motion blur can be added to games to make them appear smoother at lower framerates, but the blur requires additional processing power so it usually better just to increase framerate. It is fairly easy to notice the difference between a game running at 30fps and one at 60fps.

I'm not so sure about the human eye being able to see 200fps+ though. I have seen some studies that tried to prove the human eye could see high framerates, but the evidence was pretty shaky.