To kick something forcefully so it flies away; to kick away or kick hard.
ボールを勢いよく蹴飛ばしてゴールを決めた。
He kicked the ball hard and scored a goal.
足で箱を蹴飛ばしてしまい、中身が全部出た。
He kicked the box away with his foot and everything fell out.
怒ってドアを蹴飛ばした。
In anger, he kicked the door open.
To brusquely refuse or reject something; to turn down someone curtly.
彼の謝罪は受け入れられず、オファーは蹴飛ばされた。
His apology wasn't accepted and the offer was flatly rejected.
会社は彼の条件を蹴飛ばして交渉を打ち切った。
The company dismissed his terms and ended the negotiations.
学生の進言を先生が一言で蹴飛ばした。
The teacher dismissed the student's suggestion with a single remark.