A vehicle of mass 2000kg accelerates up an incline of 1 in 12 (sine) increasing its speed from 15km/h to 55km/h whilst travelling through a distance of 150m up the slope. The four wheels each have a mass of 20kg, a diameter of 0.6m and a radius of gyration of 250mm. The rolling friction, air resistance and bearing friction amount to a total resistance to motion of 0.5kN. Calculate the tractive effort between the driving wheels and the road surface, the work done during the period of acceleration and the average power developed.
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