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Yes, The velocity of a ball is 1 m/s at a given instant of time. it is possible for the acceleration of the ball to be -1 at this instant.
If it is made sure that the other values are plugged in correctly, a positive velocity is capable of making a negative acceleration.
A moving item always experiences positive acceleration. An object that is slowing down always experiences negative acceleration. However it does not mean that negative acceleration always mean reduction in speed.
Deceleration always slows down motion. However, negative acceleration is just acceleration in the opposite direction according to the selected coordinate system. Negative acceleration might or might not be deceleration, and vice versa for negative acceleration.
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