This root comes from the Latin word "mobilis", which means "movable" or "capable of moving". While Latin is not directly Greek, the word "mobilis" itself derives from the Latin verb "movere", meaning "to move". This verb has its roots in the Proto-Indo-European word "meue-", which also means "to move".
Therefore, the ultimate origin of "mobile" can be traced back to the Proto-Indo-European language, and the Greek root "mobil-" reflects this shared origin.