A particle starts rotating from rest according to the formula `theta = (t^(2)//64) - (t//8) " where " theta ` is the angle in radian and t in s . Find the angular velocity and angular acceleration at the end of 4 s .

Explanation

To find the angular velocity and angular acceleration of a particle rotating according to the formula \( \theta = \frac{t^2}{64} - \frac{t}{8} \), we will follow these steps:

### Step 1: Find the Angular Velocity
Angular velocity \( \omega \) is defined as the rate of change of angular displacement \( \theta \) with respect to time \( t \). Mathematically, this is given by:

\[ \omega = \frac{d\theta}{dt} \]
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