10. A cruise ship travels directly toward the dock at a speed of 12 m/s. A passenger walks 2 m/s in the same direction as the ship travels. After three seconds, the distance from the passenger to the dock has decreased by —

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10-03-2015
Physics

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10. A cruise ship travels directly toward the dock at a speed of 12 m/s. A passenger walks 2 m/s in the same direction as the ship travels. After three seconds, the distance from the passenger to the dock has decreased by —

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AL2006 AL2006 · Answer 1 · 2015-03-10T12:56:38-04:00

To be very technical about it ... you didn't say what the reference is for the passenger's "2 m/s". Is that relative to the ship, or relative to the dock ?

In fact, you didn't tell us the reference for the ship's "12 m/s" either.

I think I know how you meant it all, and if I'm correct, you actually switched
reference frames during the question and didn't tell us.

I have a hunch that the ship is moving at 12 m/s relative to the dock, and the
passenger is walking at 2 m/s relative to the ship.

That means that the passenger is moving at (12 + 2) = 14 m/s relative to
the dock, and after doing this for 3 seconds, he is 42 meters closer to the
dock than he was when the story began.

That's the sum of (12 x 3) = 36 meters that the ship has carried him
relative to the dock, plus the (2 x 3) = 6 meters that he has walked
along the deck of the ship.