burst out of (somewhere or something)
1. To flow out of something suddenly or with great force, as of a liquid. Water is bursting out of this pipe, and I can't get it to stop!
2. To suddenly become visible. After so many gray days, we were thrilled when the sun finally burst out of the clouds. A rabbit burst out of the bushes and startled me.
3. To leave a place abruptly and energetically. After our argument, Caitlin burst out of the room in a huff.