If acceleration is in the _of the velocity then it is positive acceleration and if it is in the _opposite to the _of the velocity then it negative and the negative acceleration is termed retardation
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If acceleration is in the same direction as that of velocity it is considered as positive. If direction of acceleration is opposite to direction of velocity then it is negative acceleration or retardation. Hope it helps
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An object which moves in the positive direction has a positive velocity. If the object is slowing down then its acceleration vector is directed in the opposite direction as its motion (in this case, a negative acceleration)
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