If we then allow the initial field to be gradually replaced by the new one we may have at least a process that allows for finite field propagation velocity and is bracketed by two acceptable states. A click of the mouse over the animation window will jerk the electron into the new position and you can watch the initial force field decay while the new field is building up. Any time during the process you may freeze the action by a click inside the window. As initially, this animation also freezes when the field reaches the observation point. Our speculation led us to an answer that is correct in principle provided the electron does not move into the new position faster than the field is moving away from it.
Nothing can move faster than the force field in vacuum.
Nevertheless there are a few more open questions. And finally, the jerking of the electron into the new position involved an acceleration followed by a deceleration. It is reasonable to expect that both of these would leave some signature in the shape of the field transition. These and other questions will be answered in the next section by means of the principles of special relativity. The mention of relativity may sound discouraging to the uninitiated but you will find it quite natural in the present context.