Consider a car moving along a straight line with direction r ER at constant (nonzero) speed on the plane. Let x (t) and x (t) denote the horizontal and vertical position of the center of mass of the car, both relative to the origin of a coordinate system. a) Determine an analytical expression of the trajectories x (t) and x (t) of the car for an arbitrary initial position. b) Given an arbitrary initial position, can the vehicle reach an arbitrary position on the plane? Justify your answer.