A car of mass 1200 kg is pulling a trailer of mass 800 kg up a hill inclined at an angle \(\alpha\) to the horizontal, where \(\sin \alpha = 0.1\). The system of the car and the trailer is modelled as two particles connected by a light inextensible cable. The driving force of the car’s engine is 2500 N and the resistances to the car and trailer are 100 N and 150 N respectively.

(i) Find the acceleration of the system and the tension in the cable.

(ii) When the car and trailer are travelling at a speed of 30 m s\(^{-1}\), the driving force becomes zero. The cable remains taut. Find the time, in seconds, before the system comes to rest.