2 A particle moves in a straight line and at time \(t\) it has velocity \(v\), where
$$v = 3 t ^ { 2 } - 2 \sin 3 t + 6$$
- Find an expression for the acceleration of the particle at time \(t\).
- When \(t = \frac { \pi } { 3 }\), show that the acceleration of the particle is \(2 \pi + 6\).
- When \(t = 0\), the particle is at the origin.
Find an expression for the displacement of the particle from the origin at time \(t\).