This is the 571st most frequent Japanese word.
早く
"早く" means "quickly" or "early."
Here, '早く' indicates the desire for an action (going home) to happen sooner rather than later.
早く家に帰りたいです。
I want to go home early.
In this sentence, '早く' describes waking up at an earlier-than-usual time.
早く起きて勉強しました。
I woke up early and studied.
Here, '早く' expresses a wish for a quick recovery.