A single-degree-of-freedom system is used to represent an automobile, of mass \(m\), damping constant \(c\), and stiffness \(k\), which travels on a rough road that is in the form of a sinusoidal surface with an amplitude \(Y\) and wavelength \(l\). If the automobile travels at a velocity \(v\), derive an expression for the transmissibility of the vertical motion of the automobile mass \((m)\).