I have a homework question problem in the Physics 8th Editionbook by Cutnell, Jo

Question

I have a homework question problem in the Physics 8th Editionbook by Cutnell, Johnson. It is in Chapter 3 question # 78.) Two boats are heading away from shore. Boat 1 heads duenorth at a speed of 3.4 m/s relative tothe shore. Relative to boat 1, boat 2 is moving 30° north of east at a speed of 1.3 m/s. A passenger on boat 2 walks due east acrossthe deck at a speed of 1.4 m/s relative toboat 2. What is the speed of the passenger relative to theshore?
I am not sure how to solve this problem or what approaches touse. I hope someone can assist me. Thank you for your time, Shekinah Barfield I have a homework question problem in the Physics 8th Editionbook by Cutnell, Johnson. It is in Chapter 3 question # 78.) Two boats are heading away from shore. Boat 1 heads duenorth at a speed of 3.4 m/s relative tothe shore. Relative to boat 1, boat 2 is moving 30° north of east at a speed of 1.3 m/s. A passenger on boat 2 walks due east acrossthe deck at a speed of 1.4 m/s relative toboat 2. What is the speed of the passenger relative to theshore?
I am not sure how to solve this problem or what approaches touse. I hope someone can assist me. Thank you for your time, Shekinah Barfield

Explanation / Answer

You need to keep them in components Boat 1 (0, 3.4) Boat 2 : sin 30 * 1.3 = 1.03m/s = y-component cos 30 * 1.3 = 1.13m/s = x-componet Person: (1.3, 0) Add them all together: 1.13 + 1.3 = 2.43and 3.4 + 0.65 = 4.05 2.43, 4.05 2.432 + 4.052 = c = 4.72m/s If you need the direction ( tan-1 (4.05/2.43)= 59 degrees north of east Hope that helps

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