A ship sails along three successive legs:

PHYSICS · Single correct · A Level · Physics · Mechanics and materials · Mechanics and materials

Problem

A ship sails along three successive legs: (i) 5 km5\,\text{km} at 45∘45^{\circ} north of east, (ii) 12 km12\,\text{km} due south, and (iii) 5 km5\,\text{km} due east. Calculate the magnitude of the ship’s resultant displacement from its starting point (answer to the nearest kilometre). (a) 17 km17\text{ km} (b) 10 km10\text{ km} (c) 12 km12\text{ km} (d) 7 km7\text{ km}

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