A swimmer off coast swims southwest at 2 m/s relative to the coast when she notices...

A swimmer off coast swims southwest at 2 m/s relative to the coast when she notices a fish swimming at 10 m/s due east from her perspective.

Calculate the velocity of the fish relative to the coast.

Solutions

Expert Solution

Answer: Velocity of fish realtive to coast = 12 m/s

The swimmer is moving towards Southwest, with a velocity V_s = 2 m/s relative to coast.

The fish is swimming towards East with a velocity V_fs = 10 m/s relative to the swimmer.

Its clear from the fig that the fish is moving along +ve x-direction.

So, resolving the velocity of the swimmer along x and y directions gives,

The angle is the angle SW makes with South. It is

Now fish is moving with velocity V_fs relative to swimmer

The velocity of fish relative to coast is V_f

since fish is moving along x- direction, only x-component of Vs has to considered.

Vs sin 45 Vf=10m/s + Vs=2m/s Vs cos(45)

(V3), = V, sing ; (V), = V.coso

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genius_generous answered 2 years ago

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