Similar to NWA, I got 2 Viper rides as a cadet and got sick on both. I didn't figure I would since I was a big, bad Soaring IP at the time.
From what I've seen teaching T-37's for the past couple years, most airsickness disappears on its own, some cases require the "chair" as previously mentioned, and for a few percent of the chair riders, they never get over it. It's more of a mental / nerves problem than a physiological problem from what I've seen.