How to Calculate the Bird's Net Displacement Using Vector Addition?

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To calculate the bird's net displacement using vector addition, start by breaking down the two segments of the flight into their x and y components. The first displacement is 40 m west, which contributes -40 m to the x-axis and 0 m to the y-axis. The second displacement of 100 m at 36.9 degrees north of east can be resolved using the sine and cosine values provided, yielding approximately 80 m in the x-direction and 60 m in the y-direction. By summing these components, the total x displacement is 40 m, and the total y displacement is 60 m. Finally, apply the Pythagorean theorem to find the magnitude of the net displacement and use arctan to determine the angle.
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Homework Statement


"A bird flew 40 m to the west, then 100 m in a direction 36.9 degrees to the north of east. Use the algebraic addition of vectors to fins the magnitude of the bird's net displacement"
Use sin (36.9) =0.6 and cos (36.9) = 0.8

Homework Equations


Vector addition?
A = √(Ax^2+Ay^2)
...
θ=arctan(Ay/Ax)

The Attempt at a Solution


Don't remember how to do these types of problems...
 
Physics news on Phys.org
Is law of cosines within the theory that you have learn?
 
Start by drawing a sketch that is somewhat accurate. Then see if you can find a way to solve it.
 
Draw the picture. What are the x components of those two displacements? What are the y components of those two displacements?
 
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Thread 'Correct statement about size of wire to produce larger extension'

Thread 'Correct statement about size of wire to produce larger extension'

The answer is (B) but I don't really understand why. Based on formula of Young Modulus: $$x=\frac{FL}{AE}$$ The second wire made of the same material so it means they have same Young Modulus. Larger extension means larger value of ##x## so to get larger value of ##x## we can increase ##F## and ##L## and decrease ##A## I am not sure whether there is change in ##F## for first and second wire so I will just assume ##F## does not change. It leaves (B) and (C) as possible options so why is (C)...
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