I welcome! Help to understand please.

I need to transfer smoothly object animation on the way of (curve) to dynamic animation.

If to present, what the sphere moves on a curve and at some instant it becomes a dynamic body and takes acceleration from the last movement on a curve, how it can be done?

With keyframes at me something turns out, but with the indication of a way to path object and animation of the position parameter it is impossible smoothly animation in dynamic to translate. forgive for my bad English.
:shock:

If you use a trail Sop to compute Velocity and turn on “inherit Point Velocities” theoretically you should be able to get a relatively smooth change over to an active object. Can you post a file with the results you've been getting?