Not video.

> "He took these photos with a shutter speed of 1/8,000th of a second"

A video camera shooting at standard shutter speeds (ie if being used by a professional) would likely not show the bullet. If shooting 60fps for eg so 1/120 id guess the bullet wouldn’t show up. Quick Google suggests typical 3000km/h out the muzzle which would have a 7m motion blur trail? Not sure how fast and to what speed a bullet slows in air

Professionals too, particularly sports photographers. A dozen photos are made in less than a second, and then the best is used.

That’s shooting in burst mode, it shoots separate photos rather than short videos. In sports you typically use short shutter speeds to freeze the action. If you would stitch these photos together into a video, the results would look jittery because there’s no motion blur.

Oh, so that's why they call it burst instead of film.

Video mode also doesn't use the whole sensor on most cameras because of the differing aspect ratio of film and photography and also rarely stores the raw for each frame, you'd have like 150MB-250MB per frame for that. Burst stores each individual image at full quality.