It's hard to answer this since you have no options, but here is a list of woodwind instruments. Maybe one of these are on your assignment.
Oboes, Clarinets, and Bassoons. There is also the Piccolo, the Tin Whistle, Ocarina, and my very favorites - the Saxophone and the Flute.
They all have a wooden mouthpiece which is required before playing any of these instruments. Hope I could help!