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  • Understanding Velocity vs. Speed in Circular Motion
    Here's why a particle in uniform circular motion doesn't have a constant velocity:

    * Velocity has both magnitude and direction. While the particle might move at a constant *speed* (magnitude of velocity), its *direction* is constantly changing.

    * Circular motion implies changing direction. Since the particle is moving in a circle, its direction of motion is always tangent to the circle. As it moves along the circle, this tangent line continuously rotates.

    * Acceleration is a change in velocity. Because the direction of velocity is changing, the particle is accelerating. This acceleration is directed towards the center of the circle and is called centripetal acceleration.

    In summary:

    * Constant speed: Yes, the particle in uniform circular motion moves at a constant speed.

    * Constant velocity: No, the particle's velocity is constantly changing because its direction is constantly changing.

    * Acceleration: Yes, the particle is accelerating due to the change in velocity.

    Let me know if you'd like a more detailed explanation of centripetal acceleration!

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