After a break, people are often very motivated to continue 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，意思是"激发动力、促使行动"。motivated 表示"有动力的、受到激励的"状态。