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A changing acceleration can indeed result in a change in direction for velocity. In fact, it is precisely the acceleration that causes changes in the direction of velocity.

Velocity is a vector quantity that describes both the speed and direction of motion. If an object is moving in a straight line with a constant velocity, it means that its speed and direction are constant. In this case, the acceleration is zero because there is no change in velocity.

However, when there is a non-zero acceleration acting on an object, it means there is a force causing a change in the object's velocity. According to Newton's second law of motion, the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass. When the net force on an object is non-zero, the object accelerates, and this acceleration can result in a change in the object's velocity, including changes in its direction.

For example, consider a car traveling in a circular path at a constant speed. In this case, the car's velocity is constantly changing because its direction is constantly changing. The car is accelerating toward the center of the circle, providing the centripetal acceleration necessary to maintain the circular motion.

In summary, a changing acceleration does result in a change in direction for velocity. Acceleration is the rate of change of velocity, and if the acceleration is non-zero, it causes changes in both the speed and direction of an object's motion.

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