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Because you are traveling in a curved path. Acceleration is the time rate of change of velocity. Velocity is a vector quantity. A vector has both a magnitude and a direction. Even if you move at uniform speed in a circle, your velocity is constantly changing, because your direction is changing. The acceleration is also a vector, and points in the direction that the velocity is changing. To speak more precisely, the acceleration is the first time derivative of the velocity, while the velocity is the first time derivative of the position.

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