To find the y-component ($V_y$) of the vector, we use the formula:

$V_y = |V| \cdot \sin(\theta)$

Where:

• $|V| = 47.3 \, \text{m}$ is the magnitude of the vector.
• $\theta = 39.4^\circ$ is the angle between the vector and the x-axis.

Substitute the given values into the formula:

$V_y = 47.3 \cdot \sin(39.4^\circ)$

Let's calculate this.

$V_y = 47.3 \cdot 0.6336 = 29.95 \, \text{m}$

So, the y-component of the vector is approximately $V_y = 29.95 \, \text{m}$.

Would you like more details or further clarifications? Here are a few questions you might want to consider:

1. What is the formula for finding the x-component of the vector?
2. How do you calculate vector components if given a different angle?
3. How does the sine function help in finding the y-component of a vector?
4. What happens to the y-component if the angle increases?
5. Can you solve for the magnitude if the x and y components are known?

Tip: Always ensure your calculator is set to degrees (°) when dealing with angles in degrees, as opposed to radians.