Off-road vehicles experience many disturbance inputs as they transverse over rough roads. An active suspension system can be controlled by a sensor that looks "ahead" at the road conditions. An

example of a simple suspension system that can accommodate the bumps is shown in figure (4). Y(s)O Derive the transfer function relating the output and the disturbance, i.e., G,(s) =D(s) Find the appropriate gain K, so that the vehicle does not bounce when the desired deflection is R(s)=0 and the disturbance is D(s).