Suppose the total resistive force R to the motion of a car moving in a straight line is directly proportional to its speed, i.e. R = kv where k is a constant. The car has a mass of 1600 kg and can maintain a steady speed of 72 km/h when travelling up an incline of 12◦ with the engine working at 85 kW. (a) Obtain the value of k. (b) Find the acceleration of the car when it is travelling down the same hill at the same speed and the engine is working at 45 kW

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Suppose the total resistive force R to the motion of a car moving in a straight line
is directly proportional to its speed, i.e. R = kv where k is a constant. The car has
a mass of 1600 kg and can maintain a steady speed of 72 km/h when travelling up
an incline of 12◦ with the engine working at 85 kW.
(a) Obtain the value of k.
(b) Find the acceleration of the car when it is travelling down the same hill at the
same speed and the engine is working at 45 kW

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