Instantaneous velocity

Instantaneous velocity is the derivative of position with respect to time at a particular instant. It gives both the object's speed and its direction of motion.

Position function: A function that specifies an object's position as a function of time. Its derivative with respect to time defines instantaneous velocity.
Position: An object's location relative to a chosen coordinate system. Instantaneous velocity describes how this location changes over time.
Average velocity: Displacement divided by the elapsed time over an interval. It summarizes an interval, whereas instantaneous velocity concerns one instant.
Velocity sensor: An instrument or system that estimates an object's velocity from measurements. Real measurements approximate instantaneous velocity over short time intervals.
Free fall: Motion under gravity alone, neglecting other forces such as air resistance. Its velocity changes steadily under near-Earth gravitational acceleration.
Derivative: The limit of a function's average rate of change as the interval approaches zero. Instantaneous velocity is the derivative of position with respect to time.
Time: The dimension used to order events and measure durations. Velocity is position change measured against time.
Speed: The rate at which distance is traveled, without direction. Speed is the magnitude of instantaneous velocity.
Doppler effect: A change in observed wave frequency caused by relative motion between source and observer. Frequency shifts can reveal the instantaneous radial velocity of a moving source.
Simple harmonic motion: Periodic motion in which acceleration is proportional to displacement and directed toward equilibrium. Its velocity varies continuously and becomes zero at the turning points.

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VelocityBroader topic: It describes motion at a particular instant rather than across an interval.