https://file.aiquickdraw.com/mathbot/file/17298903258053545ak7w.jpg

To find the x-component \( V_x \) of the given vector, we use the formula:

\[
V_x = |V| \cdot \cos(\theta)
\]

Where:
- \( |V| = 47.3 \, \text{m} \) (magnitude of the vector)
- \( \theta = 39.4^\circ \) (angle with the horizontal axis)

Now we calculate:

\[
V_x = 47.3 \cdot \cos(39.4^\circ)
\]

Using a calculator:

\[
V_x = 47.3 \cdot 0.774
\]

\[
V_x \approx 36.63 \, \text{m}
\]

So, the x-component \( V_x \approx 36.63 \, \text{m} \).

Would you like more details or explanations on any part of this?

---

Here are 5 related questions:
1. How would you find the y-component of the vector?
2. What happens to the x-component if the angle increases?
3. How does the cosine function relate to vector components?
4. What is the maximum possible value for the x-component?
5. How do trigonometric functions help in resolving vector components?

**Tip**: Always make sure your calculator is set to degrees when calculating trigonometric functions involving angles in degrees!

Find the x-component of the vector with magnitude |V| = 47.3 m and angle θ = 39.4°.

Learn how to find the x-component of a vector with a magnitude of 47.3 m and an angle of 39.4°. This problem uses trigonometric principles and the cosine function to calculate the vector component, suitable for students in Grades 9-12.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation