Lоng Questiоn 3 (Tоtаl 20 points) Problem StаtementHere is а very simplistic model of a (rear-wheel drive) electric car run by a dc motor. You give voltage V to the motor, and the car moves on the ground with speed v to the right. When you apply the voltage V to the motor, it provides a motor torque Tm and motor angular speed wm to the input of the transmission. The ideal transmission of gear ratio G = 5 then delivers the torque Tw and angular speed ww to the rear wheels. Transmission increases the torque by a factor of G and decreases the angular speed by the same factor G.Assume the wheels too are very light and have radius r = 0.25 m, and don’t slip on the road. Due to no slip, the linear speed v of the car is related to angular speed of the ww as v=rww.The total mass of the car is M = 1000 kg and the car moves in the air with linear air drag cv, where c = 2.The armature resistance of the motor is R = 1 Ohm, the armature inductance is about 0, the motor torque and back emf constants are both K = 10 , and the rotational inertia of the motor’s armature is 0. Complete three subparts below