Kinematic Vectors in Uniform Circular Motion – Rankers Physics
Topic: Circular Motion
Subtopic: Kinematics of Circular Motion

Kinematic Vectors in Uniform Circular Motion

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

Solution:

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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