Fetching details from the dictionary...

to jump out; to leap out; to fly out; to run out; to rush out; to bolt out
to appear (suddenly); to emerge; to come out
to protrude; to project; to jut out; to stick out
to leave (a company, one's hometown, etc.); to run away (from home); to cut ties with
to start flying
子供が急に道路に飛び出して危なかった。
A child ran out into the road.
彼は怒って部屋を飛び出した。
He stormed out of the room angrily.
値段を見て目が飛び出すほど驚いた。
I was so surprised my eyes popped out.