A vehicle has the following parameters: mf = 1170 kg mr = 1080 kg mT = 2250 kg Wheelbase = 2.96 m CoG height = 0.46 m Rtire 0.3 m NtNf = 9 Friction coefficient at the road is = 0.6 A PMSM is located on the front wheels with a rated power of 270 kW and rated torque of 441 Nm with a K = K = 0.6 and a winding resistance of Rm = 0.1 2. The inductance is negligible. Battery is 400 V, 60 kWh at a current SoC of 50% The vehicle is traveling at 60 MPH when the driver removes their foot from the accelerator pedal and presses the brake pedal to request a 0.5g deceleration rate. Assuming the maximum regenerative braking is used, what is the resulting SoC from a brake to a full stop? (Assume the drag and rolling resistances are negligible and the motor can only deliver regenerative current for braking down to 10 MPH).