Answer:
As shown in Fig. 4.103, suppose motorist
starts from point A.
Fig. 4.103
Clearly, he will follow the
hexagonal path ABCDEFA.
The orders of the turns taken by
him are indicated at the vertices of the hexagon.
(i) At the third turn, the
motorist will be at D. The magnitude of displacement will be
.
The direction of is 60°
left of the initial direction AB.
Total path length
.
(ii) At the sixth turn, the
motorist comes back to the starting point A, so magnitude of displacement is
zero.
Total path length
.
(iii) At the eighth turn, the
motorist will be at C. The magnitude of his displacement is
.
The direction of is 30° left
of the initial direction .
Total path length = 500 x 8 = 4000 m = 4
km.
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