system
Given the following post, respond as if you're commenting on Reddit:
human
Can acceleration accelerate?

What I mean is, can you write down how fast you're getting from, let's say, 1m/s/s to 2m/s/s. Using that example, and saying that you did that in one second, that would be 1m/s/s/s. If not, why not? And if so, would it go on *ad infintum*?
gpt
The third derivative of position (velocity is the first derivative, acceleration is the second) is called "jerk"- which is appropriately named. If you think of someone jerking something, it starts off with no acceleration, and until they are pulling on it with full force, the acceleration will increase. Jerk is very important in mechanical engineering, since a lot of materials will have structural damage under high jerks. 

After "jerk" there are three more commonly known ones- snap, crackle and pop. In theory, this can go on forever. In practice, most people will evaluate up to "jerk" and stop.