Question: A particle is executing uniform circular motion with velocity $\vec{v}$ and acceleration $\vec{a}$. Which of the following is true?

A) $\vec{v}$ is a constant; $\vec{a}$ is not a constant

B) $\vec{v}$ is not a constant; $\vec{a}$ is not a constant

C) $\vec{v}$ is a constant; $\vec{a}$ is a constant

D) $\vec{v}$ is not a constant; $\vec{a}$ is a constant

Answer: $\vec{v}$ is not a constant; $\vec{a}$ is not a constant

Sol:

Direction of velocity and centripetal acceleration changes continuously so $\vec{v}$ is not constant and $\vec{a}$ is not a constant.