If everything slowed down around you, but you were just as fast you are normally, would you jump higher? I am thinking velocity would increase, thus the force generated would be stronger, but I am not sure what physics say about this. What are the conditions that need to be true in order for the assertion to be true?
By everything slowed down, I mean people are moving slower than usual while you are still moving at normal speed as if you slowed time for other people, which is impossible.