A fisherman in Barbados rows his boat with a velocity of 4 m/s due east across a channel. A current flows due north at 3 m/s. What is the magnitude of the resultant velocity of the boat?

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Question

A fisherman in Barbados rows his boat with a velocity of 4 m/s due east across a channel. A current flows due north at 3 m/s. What is the magnitude of the resultant velocity of the boat?

Accepted Answer

5 m/s — Award 1 mark for correct application of Pythagoras' theorem: √(4² + 3²) = √(16 + 9) = √25 = 5 m/s. A is incorrect — this would be the difference, not the resultant. C is incorrect — this is the arithmetic sum, not the vector sum. D is incorrect — this shows a fundamental misunderstanding of vector addition.

Answer

5 m/s

Answer

1 m/s

Answer

12 m/s

Answer

7 m/s

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