Based on the relative velocity of the man with respect to the boat and the dock:
Relative velocity is the velocity of a body relative to another body which serves as a reference point.
Relative velocity is a vector.
Considering the velocity of the man and the boat:
The relative velocity of the man with respect to the boat = 2.0 m/s
Distance covered in 4.0 seconds relative to the boat = 2.0 m/s * 4.0 s
Distance moved = 8 m
Relative velocity of the man with respect to the dock = 12 + 2 = 14 m/s
Distance covered in 4.0 seconds relative to the dock = 14.0 m/s * 4.0 s
Distance moved = 56 m
In conclusion, the relative velocity is velocity with respect to a reference point.
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