Kinematics - Velocity from Acceleration

A particle moving in a straight line passes a fixed point \(O\) on the line with its velocity \(36 \text{ ms}^{-1}\). The acceleration, \(a \text{ ms}^{-2}\), of the particle, \(t\) seconds after passing \(O\), is given by \(a = 5 - 2t\). Calculate

1. The velocity of the particle \(4\) seconds after passing \(O\)
2. The time taken to reach the maximum distance from \(O\) in the direction of the initial motion
3. This maximum distance