A vehicle with the data given below is cruising on an inclined road. The required engine moment is 150 Nm in order to accelerate this vehicle with an acceleration of 0.4 m/s2 . Determine the maximum slope the vehicle can climb. Note that the vehicle is moving against wind whose velocity is provided below

Mass of the vehicle: = 1300 kg Efficiency of the transmission system: $% = 0.85 Wheel radius: & = 0.35 m Coefficient of aerodynamic resistance: ' = 0.45 Density of the air: = 1.22 kg/m3 Vehicle frontal area: = 2.5 m2 Total transmission ratio: = 10 Wind speed: & = 5 km/h Coefficient of rolling resistance: % = 0.02