If the equation for the displacement of a particle moving in a circular path is given by `(theta)=2t^(3)+0.5`, where `theta` is in radians and `t` in seconds, then the angular velocity of particle after `2 s` from its start is

Options

A. `8 rad//s`
B. `12 rad//s`
C. `24 rad//s`
D. `36 rad//s`

Explanation

To find the angular velocity of the particle after 2 seconds, we will follow these steps:

### Step 1: Understand the given function
The displacement of the particle in a circular path is given by the equation:
\[ \theta(t) = 2t^3 + 0.5 \]
where \(\theta\) is in radians and \(t\) is in seconds.
...