cars mostly travel on roads, so you have a predictable direction.
Cameras can be stabilized, both mechanically (with gyroscopes) and digitally. Look up SteadyCam operator videos, these things are unreal.
Operators are trained well. They might also have a wider field of view than the video feed.
Modern setups can actually track a car. You have technology similar to face recognition, except you use it to identify the same car it saw 0.1 second ago, and move the camera to remain centered on it.
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