The Barbados Meteorological Services uses vectors to represent wind velocity. If wind velocity is represented by vector w = (12, -5) where components are in km/h, what is the speed of the wind correct to 1 decimal place?

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Question

The Barbados Meteorological Services uses vectors to represent wind velocity. If wind velocity is represented by vector w = (12, -5) where components are in km/h, what is the speed of the wind correct to 1 decimal place?

Accepted Answer

13.0 km/h — 0 km/h. Award 1 mark for correct answer. Speed = magnitude = √(12² + (-5)²) = √(144 + 25) = √169 = 13.0 km/h. A is incorrect — calculation error. B is incorrect — student subtracted components. C is incorrect — student divided or averaged components.

Answer

13.0 km/h

Answer

17.0 km/h

Answer

8.5 km/h

Answer

7.0 km/h

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