This is a 10 second example - be sure to clean it up if you use it (destroy the trail sprites if they're below a certain size - alternatively just add the fade property)
It doesn't really add a seamless tail though, to do that I'd experiment with the idea of a tail sprite, the width of which would be multiple of the platforms speed, so the faster your moving the longer the tail.
The angle could be determined by an invisible sprite with a 1 second life span spawned every second or so at the player's x/y.