The velocity of an object is the rate of change of its position with respect to a frame of reference, and is a function of time. Velocity is a physical vector quantity; both magnitude and direction are needed to define it.
Speed of an object is the magnitude of its velocity (the rate of change of its position); it is thus a scalar quantity.
Acceleration is the rate of change of velocity of an object with respect to time.
More info:
https://en.wikipedia.org/wiki/Velocity
https://en.wikipedia.org/wiki/Speed
https://en.wikipedia.org/wiki/Acceleration
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