Izuku had been a bit (most definitely not a bit, it’s much more than a bit) under pressure and stressed due to the upcoming exam at U.A. Yes, he was most likely to get an A+ anyways, but it’s still very stressful for him. What if he gets a question wrong? What if he gets two questions wrong? What if he forgets his studies?- Soooo many questions. So after having all that stress, he decides to go on a walk through the city of Hosu to calm down. That sounds like a good idea.