What's the origin of this action movie cliche?

The specific scene I’m talking about goes like this: there’s a car chase, or some other kind of high-action pursuit, going on. Then, all of a sudden, it cuts to a seemingly unrelated scene - say, two people having lunch at a cafe. You’re wondering, “what does this have to do with anything?” and then all of a sudden the car from the car chase crashes through the window of the cafe. Or something like that.

First, I’m wondering what the first movie to do this was, if there’s any definitive answer. Second, what movies feature this scene? I feel like a lot of action movies do it. I think, for instance, that it happens in Swordfish. I want to say that it cuts to people in an office and then the trolley car that was picked up by the helicopter smashes through the glass window of the office. Is this correct?

I’m wondering, “first time watching a movie with a car chase?”

Cross cutting back and forth between two supposedly unrelated scenes goes back at least as far as The Great Train Robbery in 1903.

The chase scene looks frantic by comparison to the cafe scene. This raises tension. Then the car comes through the cafe’s plate glass window.

Think of the toy store scene in The Blues Brothers.