Kinematics - Velocity from Acceleration

A particle moving in a straight line passes through a fixed point \(O\) with velocity \(2\) \(\mathrm{ms}^{-1}\). The acceleration, \(a\) \(\mathrm{ms}^{-2}\), of the particle \(t\) seconds after passing \(O\) is given by \(a = 5 - 6t\). Calculate

1. the maximum velocity attained by the particle,
2. the value of \(t\) for which the particle is instantaneously at rest,
3. the total distance travelled by the particle between \(t = 0\) and \(t = 3\).