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A river has a current of 4m/s south with respect to the shore. A swimmer is swimming in the river (which is redundant). If the swimmer is swimming 2 m/s north with respect to the water, what is the velocity relative to the shore?

Respuesta :

skyluke89

The velocity of the swimmer relative to the shore is 2 m/s south

Explanation:

We can solve this problem by using vector addition.

In fact, we can take north as positive direction, and we can write the following:

[tex]v_c = -4 m/s[/tex] is the velocity of the current (which is negative, since it is south)

[tex]v=+2 m/s[/tex] is the velocity of the swimmer (which is positive, since it is north)

Therefore, the velocity of the swimmer relative to the shore is

[tex]v' = v+v_c = +2 +(-4) = -2 m/s[/tex]

And the negative sign means the direction is south, so the answer is

v = 2 m/s south

Learn more about vector addition here:

brainly.com/question/4945130

brainly.com/question/5892298

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