A car of mass 1400 kg travelling at a speed of \(v \text{ m s}^{-1}\) experiences a resistive force of magnitude \(40v \text{ N}\). The greatest possible constant speed of the car along a straight level road is \(56 \text{ m s}^{-1}\).

1. Find, in kW, the greatest possible power of the car’s engine.
2. Find the greatest possible acceleration of the car at an instant when its speed on a straight level road is \(32 \text{ m s}^{-1}\).
3. The car travels down a hill inclined at an angle of \(\theta^\circ\) to the horizontal at a constant speed of \(50 \text{ m s}^{-1}\). The power of the car’s engine is \(60 \text{ kW}\). Find the value of \(\theta\).