Two boats are heading away from shore. boat 1 heads due north at a speed of 3.9 m/s relative to the shore. relative to boat 1, boat 2 is moving 30° north of east at a speed of 1.8 m/s. a passenger on boat 2 walks due east across the deck at a speed of 1.2 m/s relative to boat 2. what is the speed of the passenger relative to the shore?

Answer;

The Passenger is moving    north of east with a speed of 5.53 m/s.

Explanation:

Let take east direction as positive x direction and north as positive y direction.

Let be the velocity of the boat(1) with respect to shore and  be the velocity of the boat(2) with respect to shore and bet the velocity of the person with respect to the shore

Now according to question we have

Now also we have,

Now the magnitude of velocity of person with respect to the shore is given by

Hence the Passenger is moving    north of east with a speed of 5.53 m/s.

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