Calculating Passenger Speed Relative to Shore: A Multi-Step Problem

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To calculate the speed of the passenger on Boat 2 relative to the shore, first determine Boat 2's velocity relative to the shore by using vector addition. Boat 1 moves north at 3.43 m/s, while Boat 2 moves at 1.02 m/s at an angle of 39.6° north of east relative to Boat 1. After finding Boat 2's velocity, add the passenger's eastward walking speed of 1.58 m/s relative to Boat 2 to obtain the passenger's total velocity relative to the shore. This problem requires careful consideration of vector components and their relationships. Understanding these steps is crucial for solving the multi-step problem effectively.
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Homework Statement


Two boats are heading away from shore. Boat 1 heads due north at a speed of 3.43 m/s relative to the shore. Relative to Boat 1, Boat 2 is moving 39.6 ° north of east at a speed of 1.02 m/s. A passenger on Boat 2 walks due east across the deck at a speed of 1.58 m/s relative to Boat 2. What is the speed of the passenger relative to the shore?


The Attempt at a Solution


I'm completely confused I just need a starting point. I know this is a multi-step problem I'm just unsure of what I should do first. Do I need to find x and y components of the boats' paths?
 
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StephanieF19 said:

Homework Statement


Two boats are heading away from shore. Boat 1 heads due north at a speed of 3.43 m/s relative to the shore. Relative to Boat 1, Boat 2 is moving 39.6 ° north of east at a speed of 1.02 m/s. A passenger on Boat 2 walks due east across the deck at a speed of 1.58 m/s relative to Boat 2. What is the speed of the passenger relative to the shore?

The Attempt at a Solution


I'm completely confused I just need a starting point. I know this is a multi-step problem I'm just unsure of what I should do first. Do I need to find x and y components of the boats' paths?
This is a slightly tricky vector addition problem.

To solve it you have to first find Boat 2's velocity relative to the shore. Hint: how is the relative velocity of Boat 2 to Boat 1 related to the velocity vectors of Boats 1 and 2 relative to the shore?

Can you use the same technique to then find the velocity of the passenger relative to the shore?

AM
 

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