If time travel was possible or ends up being possible it most likely be used to,
A: used to make sure history that is being taught is historically correct;
B: used by some mad man who terminates all origins of life;
C: once discovered it won't be used since it's unstable/highly dangerous to use.
Well, nothing at all. Why? The act of time travelling will loop around and undo the reason you went back in the first place, meaning you never time travelled at all.
No, you actually create an alternate timeline in which you'd have no recollection of why you wanted to go back in time, but when you stepped out of your time machine in your original timeline you'd still remember everything. But only you would remember.