An object moves in such a way that its position (in meters) as a function of time (in seconds) is `vecr=hati+3t^(2)hatj+thatk`. Give expressions for (a) the velocity of the object and (b) the acceleration of the object as functions of time.

Explanation

To solve the problem, we need to find the expressions for the velocity and acceleration of the object given its position vector as a function of time.

### Given:
The position vector of the object is given by:
\[ \vec{r} = \hat{i} + 3t^2 \hat{j} + t \hat{k} \]

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