Problem: A kayaker needs to paddle north across a 100-m-wide harbor. The tide is going out, creating a tidal current that flows to the east at 2.0 m/s. The kayaker can paddle with a speed of 3.0 m/s.a. In which direction should he paddle in order to travel straight across the harbor?b. How long will it take him to cross?

FREE Expert Solution

We have;

The speed of current towards the east, vc = 2.0 m/s

The speed of kayaker, vk = 3.0 m/s

a.

Let the angle from the perpendicular be θ.

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Problem Details

A kayaker needs to paddle north across a 100-m-wide harbor. The tide is going out, creating a tidal current that flows to the east at 2.0 m/s. The kayaker can paddle with a speed of 3.0 m/s.

a. In which direction should he paddle in order to travel straight across the harbor?

b. How long will it take him to cross?

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