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Nov 2009 p42 q3
3480
A car of mass 1250 kg travels along a horizontal straight road with increasing speed. The power provided by the car’s engine is constant and equal to 24 kW. The resistance to the car’s motion is constant and equal to 600 N.
(i) Show that the speed of the car cannot exceed 40 m s-1.
(ii) Find the acceleration of the car at an instant when its speed is 15 m s-1.
Solution
(i) At maximum speed, the driving force (DF) equals the resistance (R), so: