rocket (in)to something
1. Lit. [for a projectile] to ascend into the sky or into space; [for something] to shoot rapidly into something. The space shuttle rocketed into space. The locomotive rocketed into the darkness.
2. Fig. [for someone] to ascend rapidly into something, such as fame or prominence. Jill rocketed into prominence after her spectacular performance on the guitar. She will undoubtedly rocket to success.