A hiker follows the path ABCD of a square field where each side is 80m. Starting from corner A, the hiker walks successively along sides AB, BC, and CD, and then returns directly to the starting point A along the straight line DA.
Using the information given, answer the following questions:
(i) Calculate the total distance walked by the hiker for the single journey ABCDA described above.
(ii) Determine the magnitude of the hiker’s displacement at the end of this journey.
(iii) If the hiker repeats the entire journey described in part (i) a second time without any pause, what will be the magnitude of the displacement from the original starting point after completing the two journeys?
(iv) Justify the numerical value obtained in part (iii) with reference to the path taken.