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2. Consider the vehicle in problem 2 with original motor. Other parameters are given in the table. Vehicle mass Driver/passenger mass 2000 kg 80 kg 0.0009 Rolling resistance coefficient C₁ Tires 0 Rolling resistance coefficient Co Aerodynamic drag coefficient CAD Frontal area AF Air density p 245/45R19 0.45 2.686 m² 1.2754 kg/m³ a. Find the maximum gradability. Assume a driver and a passenger. Ans: 6.09% b. Find the acceleration time to 60 mph. Ans: 19.23s c. Find the possible maximum speed on flat road. Use computer software (e.g., Matlab, Mathcad) or an engineering calculator to solve. Ans: 59.05s d. Suppose the electric vehicle is tested at constant speed at 40mph with a driver and a passenger on a 3% grade and 10% drivetrain loss. Find the minimum 400V battery pack size in Ah to achieve 100 mi driving range. Ans: 110.64 Ah

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