applied mathematics 1 by l bostock and s chandler. taken from miscellaneous ex 6 pg 147 #6. 

6 A car of mass 1000kg is travelling on a level road against a resistance to motion which varies as the square of its speed. If the maximum power of the engine is 60 kW and the car has a maximum speed of 150km/h find an expression for the resistance to motion at any speed. Find also the acceleration when the engine is working at three-quarters full power and the speed is 30 km/h.

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