MC got the power to see the future but using all the brain that is not used to think.
Joke, maybe, aside, the author gone too far to make the MC a retard and drop hints of being able to see the future but not think on what to do later.
For example with the car at the start, he wasn't in his own precognition and the car passed so much later that the girl never even seen it, so he could just have stood there, and pulled her back when the car appeared, if it wasn't at that crossing just stay behind her for a couple minutes, save her ass, leave, no need to grope, don't want to stand around, stay at the stop and then say as chit chat there is some crazy guy doing that street very fast and to be careful, don't want to even talk to her, stand at the stop, call the cops on your phones and say you have seen a car go crazy fast in a way that she hears it.
Now for this situation, he said that a cat will pop out, that is the dumbest way to bring it out, a normal functioning human would have stopped, glanced around, said he had heard something, and then noticed the cat, no drama involved.