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You are swimming east and the current is 3.0 m/s at a bearing of 45 degrees...

You are swimming east and the current is 3.0 m/s at a bearing of 45 degrees west of north. You have a net velocity is 2 m/s at a bearing of 20 degrees north of east. What is the velocity of the girl and it's X and Y components?

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Answer #1

I am going to give a map to help you calculate the velocities in canonical coordinates:

Then, I am going to express the velocities in canonical coordinates

v1 is the current medium velocity

v2 is medium velocity the girl swims

Total velocity is the vectorial sum of v1 and v2 is:

It is sum i coordinates with j coordinates. i is weast-east direction and j is south-north direction

Finally, the velocity of the girl is the medium velocity. It is calculated with the square root of i component squared and j component squared.

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