An explorer starts from the origin and travels in three legs:

PHYSICS · Subjective · A Level · Physics · Mechanics and materials · Mechanics and materials

Problem

An explorer starts from the origin and travels in three legs: (i) 4 km4\,\text{km} at 30∘30^{\circ} north of east, (ii) 6 km6\,\text{km} due west, (iii) 3 km3\,\text{km} at 45∘45^{\circ} south of east. Calculate the magnitude and direction (with respect to the east direction) of the explorer’s net displacement from the starting point.

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