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20 October, 00:34

A person on a cruise ship is doing laps on the promenade deck. on one portion of the track the person is moving north with a speed of 3.8m/s relative to the ship. the ship moves east with a speed of 12m/s relative to the water. what is the direction of motion of the person relative to the water?

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  1. 20 October, 00:45
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    The resultant motion is given by pithagoras, since the two components (north and east) are perpendicular to each other.

    They are asking you about the direction so you have to use trigonometry, finding that the direction is Ф=arctan (3.8/12) = 17.57° north of east.
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