A hiker walks along a straight trail whose kilometre markers are numbered with positive values east of Camp C and negative values west of it. He begins at marker +2km, walks to marker −3km, then proceeds to marker +6km, and finally stops at marker −1km.
Answer the following.
(i) For each of the three legs of the journey, state the displacement, including its sign.
(ii) Calculate the total distance the hiker covers from start to finish.
(iii) Determine the net displacement of the hiker relative to Camp C.
(iv) Compute the percentage by which the distance in (ii) exceeds the magnitude of the displacement in (iii). Give your answer correct to one decimal place.