Is acceleration equal to deceleration?
Question : If a ball is rolled up a ramp at initial velocity 12 m/s and decelerates at a rate of 2 m/s2, then does the ball run back down the ramp with an acceleration equal to the deceleration? The incline is 36 m long and it takes 6 seconds to reach the position where the final velocity is zero.
Answer : Since there is no mention of friction, one must assume that gravity is the only force involved that can cause the deceleration of the ball. Remember, there is one more force, but it only acts normal (perpendicular) to the inclined plane. So, yes, the acceleration downslope should equal the deceleration upslope. You must realize that 'deceleration' is only a word for "acceleration that slows down the speed". Any comment?

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