pool cue vs sports implement

pool cue and sports implement both are nouns.

Word	Noun	Adjective	Verb	Adverb
pool cue	Yes	No	No	No
sports implement	Yes	No	No	No

As nouns, sports implement is a hypernym of pool cue; that is, sports implement is a word with a broader meaning than pool cue:

pool cue: sports implement consisting of a tapering rod used to strike a cue ball in pool or billiards
sports implement: an implement used in a sport

pool cue (noun)	sports implement (noun)
sports implement consisting of a tapering rod used to strike a cue ball in pool or billiards	an implement used in a sport