cough (something) up

Definition: to remove something from your stomach or throat by coughing.

(This phrasal verb has more than one meaning.)

E.g.1: If someone has internal injuries, they might cough blood up.
E.g.2: She nearly choked on her sandwich but luckily she managed to cough it up.

This phrasal verb can be separated. (E.g. 1 & 2)