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Average Acceleration and Instantaneous Acceleration

Very often, the velocity of a particle changes either in magnitude, in direction, or both as the motion proceeds. The body is then said to have acceleration. The acceleration is defined as the time rate of change of velocity. The average acceleration is defined as
average acceleration

The direction of average acceleration (vector) is the direction of change in velocity (vector). Its unit is m/s2.

The instantaneous acceleration is defined by
instantaneous acceleration

In general, there is no relation between the direction of velocity vector and the direction of acceleration vector.

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