2. You have been given an old Mazda RX-7 with a blown apex seal and decided to replace the rotary engine and transmission for an EV powertrain using the Nissan Leaf motor. After the EV conversion, the vehicle weights 1300 kg with you inside. The overall CaAf coefficient is 0.52 m. The wheels have an overall diameter of 24" and you have connected the motor directly to the differential which has a ratio of 4.4:1. You estimate that the rolling resistance fr of the tires is 0.01. The rotating mass factor can be assumed as 5%. The efficiency of the differential is 98% at all speeds and loads. The inverter converts DC power from the battery to AC power for the motor, and its efficiency is a constant 97%. The efficiency plot of the Leaf motor can be seen below. Determine a) The max acceleration [m/s] when the car is going up a 3% grade hill at 60 km/h (10 marks) b) The motor losses [kW] when the vehicle is cruising at 110 km/h on a flat road with a headwind of 20 km/h (8 marks) c) Estimate the 0-60 mph acceleration time [s] of the vehicle (7 marks) Motor Torque [Nm] 300 250 200 150 100 50 0 0 Efficiency[% 95 94 93 92 91 90 1000 2000 3000 4000 5000 6000 7000 8000 9000 10000 11000 Motor Speed[rpm] 89 88 87 86 85