appear vs jump out

appear and jump out both are verbs.

Word	Noun	Adjective	Verb	Adverb
appear	No	No	Yes	No
jump out	No	No	Yes	No

As verbs, jump out is a hyponym of appear; that is, jump out is a word with a more specific, narrower meaning than appear:

appear: give a certain impression of being something or having a certain aspect
jump out: be highly noticeable

appear (verb)	jump out (verb)
come into sight or view	be highly noticeable
be issued or published
come into being or existence, or appear on the scene
appear as a character on stage or appear in a play, etc.
give a certain impression of being something or having a certain aspect
(of a proposition) seem to be true, probable, or apparent
present oneself formally, as before a (judicial) authority