badminton racquet vs racquet

badminton racquet and racquet both are nouns.

Word	Noun	Adjective	Verb	Adverb
badminton racquet	Yes	No	No	No
racquet	Yes	No	No	No

As nouns, racquet is a hypernym of badminton racquet; that is, racquet is a word with a broader meaning than badminton racquet:

badminton racquet: a light long-handled racket used by badminton players
racquet: a sports implement (usually consisting of a handle and an oval frame with a tightly interlaced network of strings) used to strike a ball (or shuttlecock) in various games

Other hypernyms of badminton racquet include racket.

badminton racquet (noun)	racquet (noun)
a light long-handled racket used by badminton players	a sports implement (usually consisting of a handle and an oval frame with a tightly interlaced network of strings) used to strike a ball (or shuttlecock) in various games