An electric vehicle has the following attributes: mass m = 500 kg, wheel radius r = 0.3 m, gear ratio from motor to driv

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An electric vehicle has the following attributes: mass m = 500
kg, wheel radius r = 0.3 m, gear ratio from
motor to drive axle ng = 10, and a nominal gear efficiency ηg =
95%. Assume a single-motor single-axle
drive to provide all the propulsion power.
i) The vehicle is required to accelerate linearly from 0 to 36 km/h
in 5 seconds on a flat road under a
calm wind condition. Instantaneously at 12 km/h, calculate the
electromagnetic torque from the
electric motor to achieve this acceleration torque.
ii) The vehicle is then to decelerate linearly from 36 to 0 km/h in
5 seconds on a flat road under a calm
wind condition. Instantaneously at 24 km/h, calculate the
regenerative torque to the electric motor
to achieve this braking, if not using any mechanical brakes.