To jump, leap, or hop — when an animal or object springs up or bounces.
猫が驚いてベッドの上を跳ねた。
The cat got startled and jumped on the bed.
ボールが床に落ちて大きく跳ねた。
The ball fell on the floor and bounced high.
子どもたちが楽しそうにジャンプして跳ねている。
The children are happily jumping and hopping.
To break up, finish, or end (used colloquially for meetings, work shifts, parties, etc.).
今日は早く仕事が跳ねたので、友達と飲みに行った。
Work finished early today, so I went out for drinks with a friend.
会が完全に終わってからじゃないと、みんなは跳ねない。
They won't break up until the meeting is completely over.
To hit or run over (e.g., when a vehicle strikes a person or animal) — often written 撥ねる.
深夜、車が路上の猫を跳ねてしまった。
Late at night, a car ran over a cat on the road.
注意しないと、自転車に人を跳ねるかもしれない。
If you're not careful, you might hit someone with your bicycle.
In board games (e.g., go), to play a 'hane' move — a specific tactical move; usually written in katakana.
その局面ではハネるのが自然な手だ。
In that position, playing a hane is the natural move.