To understand why we don't realize this, let's start with the obvious: At the movies, you are not seeing moving pictures. Instead, you are seeing a series of photos.
Between each photo, a shutter blocks the light from hitting the screen while the film advances to the next photo.
Traditionally, the pattern has been: (1) Show the first picture for about 1/24 of a second, (2) then use the shutter to block the light for 1/24 of a second to give time to position the next picture, and (3) tthen show the next picture.
Technical notes: