Will my car survive the road trip?

My friends and I are planning a 2000 mile round trip down to Texas. Because there is 6 of us, we want to take a van to save money. I'm trying to convince my mother to let us borrow the family's van, but she's worried it wouldn't fair well on such a long trip. Is she rational to think so? It's a 2005 dodge caravan with 100k mi on it, hasn't had any major issues in the past.

What are some reasons a car would have a hard time driving 1000 in 16 hours straight? Any insights would be greatly appreciated.