A car moves along a straight highway marked by kilometre stones. It starts from rest beside the stone marked 5km (this point is taken as the origin for measurement). The driver first travels to the stone marked 12km, then reverses and drives back to the stone marked 3km, and finally proceeds forward to halt at the stone marked 10km.
(i) List the position of the car with respect to the origin after each of the three stages of motion.
(ii) Compute the total distance covered by the car during the entire trip.
(iii) Calculate the net displacement of the car from the origin to its final stopping point, clearly indicating the direction.
(iv) Using numerical values from parts (ii) and (iii), verify that the displacement magnitude cannot exceed the distance travelled.