IPA: //suːpəˈsɒnɪkli//
KK: /sjuːpəˈsɒnɪkli/
In a manner that is faster than the speed of sound.
The jet flew supersonically, breaking the sound barrier.
Supersonically → It is formed from "super-" (meaning above or beyond) and "sonic" (from Latin "sonicus", meaning of sound). The suffix "-ly" indicates the manner of something. Thus, "supersonically" refers to something occurring in a manner that is beyond the speed of sound.
Think of 'super' meaning 'beyond' and 'sonic' relating to 'sound' — so when something happens 'supersonically', it means it's happening faster than sound.