Interesting question. I was in an Uber in Dubai last February. The car was rear-ended, HARD, by a food delivery cycle. I was actually sore the next day. In Dubai, at least, everyone is supposed to wait for the police. The motorcyclist, obviously injured, and some damage to his bike, got the bike going and zoomed off before and info was exchanged. And then the police showed up and had words with the Uber driver about holding up traffic and the police drove off.

Anyway the Uber dropped me off at a petrol station about 1/4 mile away, canceled the trip, and told me to call for another car. I wasn't charged for the original trip.

But what if I was really injured? How's that work, especially outside of the USA?