I had the misfortune to use several of them on one flight many years ago. Summer of 1989 and I was returning from a cultural exchange in the then-Soviet Union. The HEL-JFK flight was where I lost it. Fortunately, the entire back row was empty, so the FA moved me there and I could use all the bags I wanted and lie down under a blanket. I basically had my own personal FA for the rest of the flight, toting away vomit bags and bringing me Sprite.
I stopped being sick before we landed, made my connection to Tampa, and by the time I got home I was starving and had my mom stop for McDonald's. Resiliency of youth and all.