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Skip is bringing his boat into port with a speed of 7 m/s and as he nears the dock, he tosses a tow rope from the bow with a speed of 3 m/s to a waiting dock worker. How fast is the rope moving when it is caught by the dock worker?



Answer :

Answer:

10 m/s

Explanation:

Using the concept of relative velocity, the velocity of the rope relative to the dock worker is the sum of the velocities of the rope itself and that of the boat.

We can denote vrd as the velocity of the rope relative to the dockworker, vb as the velocity of the boat, and vr as the velocity of the rope.

[tex]v_{rd} = v_{b} + v_{r} \\v_{rd} = 7m/s + 3 m/s v_{rd} = 10m/s[/tex]

Velocity of the rope relative to the dockworker: 10m/s

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