I've been vomiting since yesterday. What should I eat/drink?

It started yesterday around 6pm, I vomited again at 1am and then again at 10am today. I haven't eaten anything since lunchtime yesterday so I'm pretty hungry but I'm afraid of throwing it back up. I have been drinking water to stay hydrated. I also have a fever and am sweating really badly so please do not suggest anything that will make me feel any hotter.