Calculating Velocity of Boater in Relation to Shore

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To calculate the velocity of a boater relative to the shore, the boater's velocity is 3.2 m/s north, while the wind's velocity is 1.2 m/s at an angle of N20E. The components of the wind's velocity were calculated incorrectly, particularly the y-component, which should not have a negative sign. The correct approach involves adjusting the calculations for the wind's influence without assuming the water moves at the wind's speed. The discussion highlights the importance of accurate vector decomposition in solving the problem.
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Homework Statement



A person is boating across a body of water with velocity 3.2 m/s[N]. Wind with a velocity 1.2m/s[N20E] starts and changes path of boater.. What is velocity of boater relative to shore?

Homework Equations



nie


The Attempt at a Solution



V1x=0
V1y=3.2

V2x=1.2cos20
V2x=1.1

V2y=-1.2sin20
V2y=-.04

Vx=0 + 1.1=1.1
Vy=3.2 - 0.4=2.8


Then doing the Vx=1.12 + 2.22 then rooting that I didnt get the right answer.

I also tried to manipulate the Vy and change it with different numbers but still got the wrong answer? What would I need to do?


Thanks.
 
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V2y=-1.2sin20
The wind is N20E, so there should be no minus sign.

Poor question. We can only do it by assuming the water will move at the speed of the wind, but that isn't very likely.
 
Yeah its a shame, thanks for the help Il just try with no minus sign and get the answer.\\
 

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