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(a) The term acceleration implies the rate of change of velocity. When an object is thrown in upward direction, at the maximum height the velocity of the object becomes zero but still in that condition a constant acceleration due to gravity is working.
(b) Object moving in a certain direction with an acceleration in perpendicular direction is possible; in case of circular motion. When an object moves on a circular path, its direction is along the tangent of the circle but the centripetal acceleration is towards the radius of the circle. A tangent always makes a right angle with the radius; so when an object is in circular motion, the acceleration and velocity are in a perpendicular direction.
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