What is potential displacement?

The answer to this question is given below in this explanation section.

Explanation:

                          "potential displacement"

in geometry and mechanics a displacement is a vector whose length is a shortest distance from the initial to the final position of a point p undergoing motion.it quantifies both the distance and direction of the net or total motion along a straight line from the initial position to the final position of the point trajectory.A displacement may be identified with the translation that maps the initial position to the final position.

A displacement ,may also described as a relative position that is as the final position xf of the point to the point relatively to its initial position xi.The corresponding displacement vectors can be defined as the difference between the final and initial positions.

    s=xf-xi=Δx

in considering motion of objects over time,the instantaneous velocity of the object is the rate of change of the displacement as a function of time.The instantaneous speed then is distinct from velocity or the time rate of change of the position vector.if one considers a moving initial position or equivalently a moving origin.

   From motion over a given interval of time,the displacement divided by the length of the time interval defines the average velocity which is a vector and differ thus from the average speed,which is a scalar.

c) up is the direction the magnetic force is acting on the charge.