Determining Velocity and Acceleration for a Moving Particle

[ritwik06]

Homework Statement

A particle A moves along a circle of radius R= 0.5 m. so that its radius vector $$\vec{r}$$ relative to point O on th circumference rotates with a constant angular velocity $$\omega=0.4 rad/s$$. Find the modulus of velocity and total acceleration.

The Attempt at a Solution

The thing which confuses me is that the modulus of radius vector(relative to point on circumference) keeps changing with time. but $$\omega=constant$$
$$v=r\omega$$

This means that v changes with time. Am I right?

 

[Rake-MC]

Think about the definition of modulus.
Does it matter if the direction of the vector is changing?

Yes, v changes with time, but is the modulus changing?

HINT:

Spoiler

modulus can be synonymous with magnitude.