to leap out (e.g. onto the stage); to spring out
to jump (e.g. into first place); to shoot (e.g. to the top); to come to the forefront; to suddenly become prominent
彼は最終コーナーで首位に躍り出た。
He sprang into first place in the final corner.
マスコットが幕から躍り出て、子供たちは大喜びした。
The mascot leapt out from behind the curtain, and the children were overjoyed.
新興企業が世界市場に躍り出る。
The startup is about to burst onto the global market.