The position vector of a particle is given by `vecr=(2 sin 2t)hati+(3+ cos 2t)hatj+(8t)hatk`. Determine its velocity and acceleration at `t=pi//3`.

Explanation

To solve the problem, we need to determine the velocity and acceleration of a particle whose position vector is given by:

\[ \vec{r} = (2 \sin 2t) \hat{i} + (3 + \cos 2t) \hat{j} + (8t) \hat{k} \]

### Step 1: Find the Velocity Vector

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