Problem 1. The vehicle is at rest on a blacktop road that is flat and dry (µ = 0.80). The torque curve of the vehicle has been measured and can be approximated as: T(R P M)=\left\{\begin{array}{ll}

T_{\max } & R P M \leq 4800 \\

\frac{P_{\max }}{\omega} & 4800

\frac{9.455 \times 10^{7}}{\omega^{2}} & R P M>5800

\end{array}\right. a) Sketch the motor torque and power graphs. What is the maximum speed of the vehicle and what is the motor torque and power at the max speed?

b) The vehicle accelerates from rest to 60 mph as hard as possible. Calculate the power train and traction limited accelerations. What limits the acceleration performance?

c) In what time would the vehicle reach 60 mph and at what distance from the start.