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A motor vehicle of mases 1150kg absorbs 75kW when traveling at a steady speed of...

A motor vehicle of mases 1150kg absorbs 75kW when traveling at a steady speed of 160km/h on a
level road.The resistance due to windage and road may be assumed to vary as the square of the
spoed.At full throttle the engine is capable of delivering 95kW at 160km/h and the torque output from
the engine at full throttle may be assumed to be constant over a wide range of speed.Each of the
four road wheels has a mass of 55kg,a radius of gyration of 230mm and a rolling radius of 350mm.
the rotating parts of the engine have a mass of 160kg and a radius of gyration of 80mm.the gear
ratio between the engine and the back axle is 4.8 to 1.
From the above information,determine the time necessary for this vehicle to accelerate from
100km/h to 150km/h at full throttle on an incline of 1 in 50.?

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