OK, first, the eye doesn't see at 36 (or any other fixed rate) fps. It is a true constant real time update. The only limitation is the speed at which the nerves send the signal to the brain.
Motion in movies seems smooth due to 1: blurred shots (think trails following a moving object) and 2: the brain is very good at understanding what something is supposed to look like (someone walking, car driving, etc.) and adjusting what you "see" to make it look right. In games the blur effect doesn't happen due to the way models are displayed. Imagine the processing power you would need to have to generate the correct size, direction, and such of all those trails. That is why in a game, having higher fps makes it look better/smoother. Your eye is picking up all of those frames (faster than your brain can consciously process them) and blurring them into the smooth motion you see. You get the choppiness once your brain is able to process each frame completely before getting hit with the next frame. And yes, it is different for each person.