Vector Addition - Grade 12 part 3

In summary, a pilot with Canjet needs to find the resultant displacement of their jet flying at 345km/h @ 225 degrees into a 40km/h West wind. They can use the construction line method, components method, and the laws of sines and cosines to solve this problem. Drawing a freebody diagram and using trigonometry can help with solving the problem.
  • #1
smittyj
2
0

Homework Statement


A new pilot with Canjet is asked to find the resultant displacement of his jet if it flies at 345km/h @ 225 degrees into a wind that is blowing at 40km/h from the West. Use the 'construction line' method, components method, AND law of sines and cosines.


Homework Equations


Law of sines, law of cosines, trig functions



The Attempt at a Solution


Lame attempt.
 
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  • #2
Can you show your attempt please as per PF guidelines.

It may help you to consider drawing a freebody diagram and resolving all the forces.
 
  • #3
Try drawing both vectors from the same origin. If you connect the heads with a line, you will have a triangle, from which you can apply the trig stuff.
 

1. What is vector addition?

Vector addition is the mathematical operation of combining two or more vectors to create a resultant vector. It is used to calculate the overall displacement or velocity of an object when multiple forces or velocities are acting on it.

2. How is vector addition performed?

Vector addition involves adding the corresponding components of two or more vectors to create the components of the resultant vector. This can be done graphically, using the head-to-tail method, or algebraically, by adding the individual components using vector addition equations.

3. What are the rules for vector addition?

The rules for vector addition are: 1) vectors must be of the same type (displacement, velocity, etc.), 2) vectors must be added in the same direction, 3) the order of addition does not matter, and 4) the resultant vector is the vector sum of all the individual vectors.

4. Can vector addition be performed on more than two vectors?

Yes, vector addition can be performed on any number of vectors. The same rules apply, and the resultant vector is the sum of all the individual vectors.

5. What is the difference between vector addition and scalar addition?

Vector addition involves adding vectors with both magnitude and direction, while scalar addition involves adding quantities with only magnitude. Scalar addition is performed using regular addition, while vector addition requires a different set of rules and equations.

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