Nikaidou's amazing baseball save does, as several people have mentioned, stretch if not actually violate the laws of physics.
Whaaat? She just caught the ball. It'd be hard to do, especially without looking at it, but it's nothing superhuman. It wasn't even a batted ball, it was just thrown by a guy. As for the truck issue, Tadokoro ran away out of the blue so it's pretty obvious Nikaidou chased after her. She could still do some crazy thing given how this is a comedy manga, but most likely she'll just pull her or jump to save her.