Velocity

Velocity is the rate at which position changes over time, including direction. It is a vector, so its value depends on both speed and direction of motion.

Position: Position specifies an object's location relative to a chosen coordinate system. Velocity tracks how this location changes over time.
Average velocity: Average velocity is displacement divided by the elapsed time over an interval. It gives the interval-based form of velocity.
Newton's laws of motion: Newton's laws relate an object's motion to the forces acting on it. The laws predict how forces change velocity.
Distance: Distance is the total length of the path traveled, regardless of direction. Distance differs from displacement, the directional change used to calculate average velocity.
Displacement: Displacement is the change in position from an initial point to a final point. Average velocity uses displacement rather than total distance traveled.
Instantaneous velocity: Instantaneous velocity is the limit of average velocity as the time interval approaches zero. It describes motion at a particular instant rather than across an interval.
Doppler effect: The Doppler effect is a change in observed wave frequency caused by relative motion between source and observer. Relative velocity determines the frequency shift.
Relative velocity: Relative velocity is the velocity of one object measured with respect to another. A velocity value depends on the reference frame used to measure motion.
Time: Time is the measurable ordering and duration of events. Velocity compares a change in position with elapsed time.
Derivative: A derivative measures the instantaneous rate at which one quantity changes with respect to another. Differentiating position with respect to time gives instantaneous velocity.

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