The angular displacement of a particle is given by `theta =X t_(o) +(1)/(2)" at"^(2)`, where `X_(o)` and a are constant and `x_(o) =1" rad/s", a=1.5" rad/s"^(2).` Find the angular velocity at time t=2s.

Explanation

To find the angular velocity at time \( t = 2 \) seconds, we start with the given angular displacement equation:

\[ \theta = X_0 t + \frac{1}{2} a t^2 \]

where:
- \( X_0 = 1 \, \text{rad/s} \) (initial angular velocity),
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