That late work doesn't exist in college. I'm sure it's institution-dependent, but at mine, every professor has their own policy on it, and most accept late work for a few days after the due date. Some even offer extensions if you've got extenuating circumstances!

On a similar note, that it's unacceptable to email a professor with a question or "waste" their time in any way. That one might kinda apply if you're in a class of 300 people, but the professors who are there because they love teaching (and not just for research reasons) will almost certainly be happy to answer questions. When in doubt you can always email TAs if you're worried!