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Question: Wind in blowing NE with 18\(\sqrt{2}\) km h<sup>-1</sup> and steamer is heading due west with 18 km ...

Wind in blowing NE with 182\sqrt{2} km h-1 and steamer is heading due west with 18 km h-1. In which direction is the flag on the mast fluttering?

A

North West

B

North

C

South West

D

South

Answer

South

Explanation

Solution

V\overrightarrow{V}Res = V\overrightarrow{V}steamer + V\overrightarrow{V}wind = - 55i^+5i^+5j^=5j^- 5\widehat{i} + 5\widehat{i} + 5\widehat{j} = 5\widehat{j}. The flag will flutter in a direction opposite to the direction of motion.