Those are hard words. If I see "amenable" I think that a person is willing to go along with something without complaining. If I see "acquiesce" I feel like the person doesn't want to go along with something, but agrees to do it anyway. Sometimes "amenable" is used when people agree to a compromise, but "acquiesce" definitely has the connotation of agreeing to something that you'd rather not agree to. I hope that's helpful; it's a little hard to explain. Good luck with your studies!

Well, if we describe something or someone as "amenable", it usually means the potential of accepting something. If we use "acquiescent", it describes a person who is already agreeable; to acquiesce is something that person typically does. Keep in mind that "to acquiesce" is a conscious choice. I can't think of a verb form for "amenable".