http://blog.modernmechanix.com/2008/12/18/train-picks-up-and...
Well. It's pretty much unworkable. Train is not a single rigid body, it's composed from bogies and car bodies, and they are only quite loosely attached. They absolutely have to be. So you can't expect it to just sit as a rock on the tracks, even in pretty low speeds. And with speed low enough, you are maybe better to simply stop. Modern electric bullet train unit with high powered axles ratio can accelerate really, really fast.
Anyway, you could spend money much better on allowing higher speeds on the whole track, or improving adjacent tracks so to allow higher speeds even for feeders and conventional trains, which could allow you to make fewer stops.