Question

You are fishing in a boat anchored in a bay. You notice that the current is in the eastern direction with small wave crests that are 15 meters apart, and they are gently rocking the boat once every 5 seconds. You decide to lift the anchor and begin trolling slowly to the west at 2. 0 meters/second

Answer 1

The relative velocity of the boat with respect to the current is 1 m/s west.

Relative velocity of the boat

The relative velocity of the boat is the difference between the velocity of the boat moving west and the velocity of the current moving east.

Velocity of the current

The velocity of the current is calculated as follows;

v = fλ

where;

• f is frequency of the current = 1/5 Hz
• λ is the wavelength = 15 m

v = (1/5) x 15

v = 3 m/s

The relative velocity of the boat = 2 m/s - 3 m/s = - 1m/s

Thus, the relative velocity of the boat with respect to the current is 1 m/s west.

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