Answered

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A cyclist is traveling along a road due east at 12 km/h and wind is blowing from south-west at 5 km/h . find the velocity of the wind relative to the cyclist.

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onyebuchinnaji

The velocity of the wind relative to the cyclist is determined as -15.3 km i - 3.5 km j.

Velocity of the wind relative the cyclist

The speed of the wind in x - direction and y - direction is calculated as follows;

v(w/c) = - 5 km(cos 45)i - 5km(sin45)j

v(w/c) = [- 3.5 i - 3.5 j ] km

velocity of wind with respect to cyclist = (-12 km i - 3.5 km i) - 3.5 km j

velocity of wind with respect to cyclist = -15.3 km i - 3.5 km j

Thus, the velocity of the wind relative to the cyclist is determined as -15.3 km i - 3.5 km j.

Learn more about relative velocity here: https://brainly.com/question/17228388

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