Question

Find the velocity vector w , if the wind is blowing from the southeast at 20 km/hour. give an exact simplified answer. w =

Answer 1

The velocity vector is 20√2 i - 20√2 j.

When considering motion in two dimensions we use the terms unit vectors i and j.

As shown in the adjoining diagram,

Let the North direction be represented by +j.

Let the South direction be represented by -j.

Let the East direction be represented by +i.

Let the West direction be represented by -i.

We are given,  that the wind is blowing from the southeast direction at 20 km/hr.

On resolving its velocity in the south and east directions,

The velocity in vertical direction is 20cos45 -j = -20√2 j.

The velocity is horizontal direction is 20sin45 i = 20√2 i.

Thus, the velocity vector is 20√2 i - 20√2 j.

To know more about "resolution of vectors", refer to the link given below"

brainly.com/question/11234810?referrer=searchResults

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