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

In summary, the problem involves finding the magnitude of a bird's net displacement after flying 40 m west and 100 m in a direction 36.9 degrees north of east. Using the algebraic addition of vectors, the magnitude can be found by using sin (36.9) = 0.6 and cos (36.9) = 0.8 to calculate the x and y components of the displacements. The equation A = √(Ax^2+Ay^2) can then be used to find the magnitude, and the direction can be found using the equation θ=arctan(Ay/Ax). The law of cosines may also be applicable in this problem. A sketch can be helpful
  • #1
ComputerForests000
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OP warned about not making an attempt at a solution

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...
 
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  • #2
Is law of cosines within the theory that you have learn?
 
  • #3
Start by drawing a sketch that is somewhat accurate. Then see if you can find a way to solve it.
 
  • #4
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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FAQ: How to Calculate the Bird's Net Displacement Using Vector Addition?

1. What is a simple vector addition problem?

A simple vector addition problem involves adding two or more vectors together to find the resultant vector. Vectors are quantities that have both magnitude and direction, and can be represented by arrows. The resultant vector is the combination of all the individual vectors added together.

2. How do I solve a simple vector addition problem?

To solve a simple vector addition problem, you must first identify the magnitude and direction of each vector. Then, add the magnitudes of the vectors together and use the rules of vector addition to determine the direction of the resultant vector. You can use graphical or algebraic methods to solve a simple vector addition problem.

3. What are the rules of vector addition?

The rules of vector addition include the commutative property (changing the order of the vectors does not change the result), the associative property (grouping the vectors differently does not change the result), and the use of the parallelogram method or the triangle method to determine the direction of the resultant vector.

4. Can a simple vector addition problem have a negative result?

Yes, a simple vector addition problem can have a negative result. This can occur when the vectors being added have opposite directions and cancel each other out. In this case, the resultant vector will have a magnitude of 0 and a direction of 0 degrees.

5. What are some real-life applications of simple vector addition problems?

Simple vector addition problems are used in various fields such as physics, engineering, and navigation. For example, in physics, simple vector addition is used to calculate the net force on an object. In engineering, it is used to determine the resultant force acting on a structure. In navigation, it is used to calculate the displacement and velocity of an object.

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