What is the value of its x-component?

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In summary, a velocity vector pointing 55 degrees below the positive x-axis has a y-component of -13 m/s. To find the value of its x-component, you can use a triangle diagram and the given information to solve for the length of the hypotenuse.
  • #1
bpatel4116
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A velocity vector 55 degrees below the positive x-axis has a y-component of -13 m/s.

What is the value of its x-component?

Ive tried many different ways for this problem but i keep getting it wrong! help!
 
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  • #2
bpatel4116 said:
A velocity vector 55 degrees below the positive x-axis has a y-component of -13 m/s.

What is the value of its x-component?

Ive tried many different ways for this problem but i keep getting it wrong! help!

Welcome to PF.

If your vector is pointing 55° down then draw the diagram.

You have a triangle - you have the angle - they tell you a side - then figure out the length of the hippopotamus.
 
  • #3


The value of the x-component of the velocity vector can be calculated using trigonometric functions. Since the vector is 55 degrees below the positive x-axis, we can use the sine function to find the ratio of the y-component to the hypotenuse (the magnitude of the velocity vector). This can be represented as sin(55°) = -13/h, where h is the magnitude of the velocity vector. Solving for h, we get h = -13/sin(55°) ≈ -15.89 m/s.

Now, to find the x-component, we can use the cosine function, which represents the ratio of the adjacent side (x-component) to the hypotenuse. This can be represented as cos(55°) = x/-15.89. Solving for x, we get x = -15.89*cos(55°) ≈ -10.87 m/s.

Therefore, the value of the x-component of the velocity vector is approximately -10.87 m/s.
 

Related to What is the value of its x-component?

1. What does the x-component represent?

The x-component represents the value of the horizontal or left-right direction in a two-dimensional coordinate system.

2. How is the x-component calculated?

The x-component is calculated by measuring the distance from the origin (0,0) to the point on the horizontal axis.

3. Why is the x-component important in science?

The x-component is important in science as it allows us to accurately describe the position, motion, and forces acting on objects in two-dimensional space.

4. Can the x-component have a negative value?

Yes, the x-component can have a negative value if the point is located to the left of the origin on the horizontal axis.

5. How is the x-component used in physics?

In physics, the x-component is used in equations to calculate the magnitude and direction of forces, as well as to describe the motion of objects in two-dimensional space.

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