In-wheel electric powertrains contain motors right inside the wheel hub. This setup has many good points, like making the car handle better, saving energy, and giving designers more freedom. By getting rid of the usual drivetrain parts, in-wheel motors (IWMs) can control torque precisely. This affects the vehicle dynamics including acceleration, braking, pitch, and heave. A lot of studies have looked at how to reduce the up-and-down shaking caused by bumpy roads. But not much attention has been paid to how this interacts with the back-and-forth movements, which can influence how stable and easy to control the car is. Moreover,IWMs introduce additional non negligible mass to the unsprung mass, negatively affecting the suspension filtering capacity of the road disturbances.