Answer to Question #39158 in MatLAB | Mathematica | MathCAD | Maple for Trella Ke

Question

A car of mass m = 1000 kg is traveling on the flat straight road. The thrust developed by the engine is
f(t). Assuming that the air drag forces acting on the car are viscous, i.e., proportional to velocity and the
viscous damping coefficient is 50 N-s/m.
Find the transfer function representation for V(s)/F(s), where v(t) is the translational velocity of the
car.
Sketch the velocity response for the car if the input force f(t)= 50 N for t ≥ 0. Highlight the
relevant important transient and steady state response characteristics on the drawn plot. And verify using MATLAB)