Exam-Style Problem
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June 2022 p42 q6
3494
A car of mass 900 kg is moving up a hill inclined at \(\sin^{-1} 0.12\) to the horizontal. The initial speed of the car is 11 m s\(^{-1}\). After 12 s, the car has travelled 150 m up the hill and has speed 16 m s\(^{-1}\). The engine of the car is working at a constant rate of 24 kW.
(a) Find the work done against the resistive forces during the 12 s.
The car then travels along a straight horizontal road. There is a resistance to the motion of the car of \((1520 + 4v)\) N when the speed of the car is \(v\) m s\(^{-1}\). The car travels at a constant speed with the engine working at a constant rate of 32 kW.
(b) Find this speed.
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