There are many interesting kinematics problems, where the velocity vector of one moving body points towards another moving body. For example, consider the well-known problem of a dog chasing a rabbit (which follows a straight line with velocity $v$), where the speed of the dog stays $v$, but $\vec{v}$ always points towards the moving rabbit.

I know that chasing/pursuit problem can be solved, and I am not asking for a full solution.

But from a dynamical point of view, the velocity vector $\vec{v}$ changes with time, so there must be an acceleration, or "force" acting from the moving rabbit on the dog. But I would not know how to find this force. And going even one step further, is it possible to derive a potential in which the dog is moving (for example, by moving in a co-moving reference-frame where the rabbit stays at rest)?