A pickup is an all-wheel drive. The engine provides a maximum torque of T_E = 480 Nm. The ratio of the first gear is given by i_G = 3.5. The center differential distributes the driving torque with a ratio of 40:60 to the front and rear axles. The differentials at the front and rear axle provide an additional gear ratio of i_D = 3.7 and finally distribute the torque equally to the left and right wheels. The vehicle has mass m = 2700 kg. The position of the center of gravity is determined by a_1 = 1.7 m, a_2 = 1.5 m, h = 0.9 m, and the radius of each wheel is given by r = 0.36 m. Determine the maximum acceleration of the vehicle. Calculate the hereby required friction coefficients between tire and road at the front and rear axle (consider different value of u for the front and rear axle). Ignore the moment of inertia of the axles & the powertrain