The acceleration of a particle varies with time t seconds according to the relation `a=6t+6ms^-2`. Find velocity and position as funcitons of time. It is given that the particle starts from origin at `t=0` with velocity `2ms^-1`.

Explanation

To solve the problem, we need to find the velocity and position of a particle given its acceleration as a function of time. The acceleration is given by:

\[ a(t) = 6t + 6 \, \text{m/s}^2 \]

We also know that the particle starts from the origin at \( t = 0 \) with an initial velocity of \( 2 \, \text{m/s} \).

### Step 1: Find the velocity as a function of time

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