Rice is the best way to stop throwing up. No other remedy is as simple and absolutely effective as this one.
Rinse around 4 tbsp of rise and bring to boil with 2 cups of water. Add water if the rice becomes too dry. Drink the rice water at first very slowly, otherwise make your stomach turn again. Rice is very effective for this because it is packed with electrolytes, which regulate are responsible for regulating your stomach. If no rice is available, Gatorade or any other water with electrolytes will work, however it will be relatively heavier for your sensitive stomach to take.
Above all soothe your stomach, do not feed it dramatic, heavy elements or it will turn again, remember, there is a reason why it got to this point in the first place!