Kinematic Vectors in Uniform Circular Motion – Rankers Physics

Kinematics of Circular Motion: Practice Problem & Solution

A particle is executing uniform circular motion with velocity \(\vec{v}\) and acceleration \(\vec{a}\). Which of the following is true?
\(\vec{v}\) is a constant; \(\vec{a}\) is a constant
\(\vec{v}\) is not a constant; \(\vec{a}\) is a constant
\(\vec{v}\) is a constant; \(\vec{a}\) is not a constant
\(\vec{v}\) is not a constant; \(\vec{a}\) is not a constant

Short Solution (Best for NEET):

To solve this problem, we apply the core principles of Kinematics of Circular Motion. Understanding the underlying formula is key to arriving at the correct answer below:

In uniform circular motion, the magnitudes of velocity and centripetal acceleration are constant, but their directions continuously change as the particle moves along the circle. Thus, both vector quantities are non-constant.

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