you are tasked to analyze the acceleration characteristics of an electric car during its design stage. To simplify the analysis, it is assumed that this car can generate a constant maximum power of Pmax = 200kW. The power is calculated by multiplying the force generated by the car and its velocity (i.e., P = fv). When the mass of the car is m 2000kg, find the minimum time it takes for the car to accelerate from min 0 km (0m) to Umax h 100 km (27.7778 m). The static and dynamic friction h coefficients between its tires and the road surface are measured as s = 0.8 and k 0.5, respectively. The gravitational acceleration is g = 9.8m. For a simplification, assume that the road surface is leveled, the car is moving along a straight line, and the rotary inertial of tires is ignored. If necessary, make any additional assumptions. (Hint) Since the power is constant, the force (f = 13) generated by the car can be extremely high in a low-speed region. Thus, the force should be limited not to slip for the maximum performance in the low-speed region (which is referred to as a low-speed traction control). Then, this problem should be analyzed in two speed regions: the low-speed region with the torque limit and the high-speed region without the torque limit. 1. Find the velocity between the low- and high-speed regions. Round your answer to the nearest hundredth. Uc m S = 2. Find the time from 0 to vc. Round your answer to the nearest hundredth. tc[s] =