The purpose of this paper is to show the effect of acceleration-variable forward
velocity-, on the steady-state and transient responses of turning vehicles and the resulted
path of motion of the vehicle. Comparing the responses of the vehicle will be used to prove
that there is a negligible difference between the steady-state and transient center of rotation
of the vehicle in engineering applications. To show that vehicles are working close to their
steady-state conditions even at transient stage, we examine a vehicle in two maneuvers. In
the first one, the vehicle is assumed to be moving at a constant forward speed and
experiencing a step steer angle change. In the second maneuver, the vehicle experiences a
lane change steering input. The transient response of the vehicle, as well as the required
time to achieve the steady-state conditions will be analyzed.