Supertasks are more philosophical than physical, but they do make for a fun few minutes of contemplation. They make us ask what happens when an infinite number of things happen in a finite amount of time. In this case, they show that things can spontaneously start moving.
If you switched on the light this morning and walked to the bathroom, you've put yourself in the middle of a philosophical conundrum. In one case, you have accomplished what's known as a supertask. In the other case, you've done something that shows supertasks are impossible.