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