The idea - as you probably gather - is that there is a switch of time perspective and back.
We see things from the perspective first of the majority of the people, then from the perspective of the featured character (the one with goggles and headphones) - and then back again to how the majority see things.
The featured character is the superhero Quicksilver, who can move so fast that the rest of the world seems to him extremely slow.
My guess is that the above scene was suggested by the comedy cartoon Over the Hedge, which I watched with my kids when it came-out. In the scene below there had been a big build-up to the squirrel Hammy being given an energy drink - and we, the audience, had been psyched from previous scenes to expect him to move extremely fast.
(There is also a metaphysical, theological interest in all this if we substitute supernatural for superhero; which is maybe why these scenes seem so fascinating and moving.)