Since switches have speed ratings, this is not a simple question to answer.
Switches should have a design rating (say 45mph), and if the train exceeds that speed (which it really shouldn't - this isn't a underposted Highway Speed limit, but an actual design limit) then problems can occur (discomfort being the mildest, derailment the worse). Switches designed for High Speed lines, as you can imagine, tend to have gentler curves among other characteristics.