If a particle moves in a circle describing equal angles in equal times, its velocity vector:

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Accepted Answer

1.  **Uniform Circular Motion:** The phrase 'describing equal angles in equal times' implies that the angular velocity ($\omega$) is constant. Since the radius ($r$) is fixed, the linear speed ($v = r\omega$) is also constant. This describes Uniform Circular Motion .
2.  **Velocity Vector:** Velocity is a vector quantity possessing both magnitude (speed) and direction. In uniform circular motion, while the magnitude of the velocity remains constant, the direction of the velocity vector is always tangent to the circular path and changes continuously at every point.
3.  **Conclusion:** Therefore, the velocity vector changes due to the change in direction, even though its magnitude remains constant.

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