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Rate of change in position is called velocity.
displacement or distance.
To find the rate of change. Velocity, for example, is the rate of change of distance - in a specified direction. Acceleration is the rate of change of velocity.
The number you read on the speedometer of your car is the present rate of change of the distance you've covered.
The rate of change of potential with respect to distance is called potential gradient. its unit is volt per meter or newton/coulomb.