A velocity vector is represented with the arrow found below: Which of the following pairs of horizontal and vertical components could represent the resultant velocity vector shown above?

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Chapter1: Units, Trigonometry. And Vectors
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### Understanding Velocity Vectors

#### A velocity vector is represented with the arrow found below:
![velocity vector arrow](example-image-url)

**Graph Description:**
The diagram depicts a single arrow pointing diagonally upwards and to the right. This arrow represents the velocity vector. 

#### Question:
Which of the following pairs of horizontal and vertical components could represent the resultant velocity vector shown above?

---

**Explanation:**

In physics, a vector is a quantity that has both magnitude and direction. Velocity vectors can be broken down into horizontal (x-axis) and vertical (y-axis) components. The arrow represents the direction and magnitude of the resultant velocity vector.

To find the specific horizontal and vertical components that represent this resultant vector, one could use trigonometric functions or vector algebra, considering the angle at which the arrow is drawn.
Transcribed Image Text:### Understanding Velocity Vectors #### A velocity vector is represented with the arrow found below: ![velocity vector arrow](example-image-url) **Graph Description:** The diagram depicts a single arrow pointing diagonally upwards and to the right. This arrow represents the velocity vector. #### Question: Which of the following pairs of horizontal and vertical components could represent the resultant velocity vector shown above? --- **Explanation:** In physics, a vector is a quantity that has both magnitude and direction. Velocity vectors can be broken down into horizontal (x-axis) and vertical (y-axis) components. The arrow represents the direction and magnitude of the resultant velocity vector. To find the specific horizontal and vertical components that represent this resultant vector, one could use trigonometric functions or vector algebra, considering the angle at which the arrow is drawn.
## Velocity Vectors Exercise

Consider the following velocity vectors:

1. \( v_x = 5 \, \text{m/s} \) and \( v_y = 10 \, \text{m/s} \)
2. \( v_x = 7 \, \text{m/s} \) and \( v_y = 7 \, \text{m/s} \)
3. \( v_x = 10 \, \text{m/s} \) and \( v_y = 5 \, \text{m/s} \)
4. \( v_x = 10 \, \text{m/s} \) and \( v_y = 10 \, \text{m/s} \)

These vectors represent different combinations of horizontal (\( v_x \)) and vertical (\( v_y \)) velocity components. Analyze how these components contribute to the overall velocity vector in each scenario.
Transcribed Image Text:## Velocity Vectors Exercise Consider the following velocity vectors: 1. \( v_x = 5 \, \text{m/s} \) and \( v_y = 10 \, \text{m/s} \) 2. \( v_x = 7 \, \text{m/s} \) and \( v_y = 7 \, \text{m/s} \) 3. \( v_x = 10 \, \text{m/s} \) and \( v_y = 5 \, \text{m/s} \) 4. \( v_x = 10 \, \text{m/s} \) and \( v_y = 10 \, \text{m/s} \) These vectors represent different combinations of horizontal (\( v_x \)) and vertical (\( v_y \)) velocity components. Analyze how these components contribute to the overall velocity vector in each scenario.
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