Furthermore, after a break people are often very motivated to go on with their education.

motivated 是动词 motivate 的过去分词形式，在这里作形容词使用。motivate 由词根 mot（移动）和后缀 -ate（使...）组成，本意是"使移动、推动"，引申为"激励、激发"的意思。motivated 表示"被激励的、有动力的"。