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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
Detailed Solution
In uniform circular motion, the direction of both velocity and the (centripetal) acceleration changes continuously (even though their magnitudes stay constant), so neither $\vec v$ nor $\vec a$ is a constant vector.