I. Develop MATLAB programs to solve the traction problem:

$($a$)$ Use function ode$45$ to calculate and plot the velocity$-$time history $($up to $150$ seconds$)$ for power $P_T=60,80,100$

and $120kW$ and grade $=4\%.$

$($b$)$ Use function ode$45$ to calculate and plot the velocity$-$time history $($up to $150$ seconds$)$ for power $P_T=80kW$ and

grade $=0,4,8,$ and $12\%.$

II Develop a SIMULINK model $($and a MATLAB program to call the SIMULINK model$)$ to solve for $I(a)$ and $I(b).$

Note: include xlabel, ylabel, title, legend, and grid on the plots