The document you provided seems to be a physics exam related to vector forces and their components. The first part asks for the determination of the components of a vector with a magnitude of 20 m/s that forms a 30° angle with the positive x-axis.

To start solving this, we can decompose the vector into its x and y components using trigonometry:

1. The x-component of the velocity vector, $V_x$, is given by: $V_x = V \cdot \cos(\theta) = 20 \cdot \cos(30^\circ)$ where $V = 20 \, \text{m/s}$ and $\theta = 30^\circ$.

2. The y-component of the velocity vector, $V_y$, is given by: $V_y = V \cdot \sin(\theta) = 20 \cdot \sin(30^\circ)$ where $\sin(30^\circ) = 0.5$.

Once you calculate the x and y components, you'll get the precise values.

Would you like me to perform the exact calculations for you? Also, do you need any clarification on this problem or help with the other questions on the exam?

Here are some related questions for further exploration:

1. How can we calculate the components of a vector in 3 dimensions?
2. How does the angle between vectors affect their dot product?
3. What is the significance of vector components in resolving forces?
4. Can you explain how to represent vector addition graphically?
5. How would you approach the analysis of vector components in circular motion?

Tip: When breaking down a vector into components, always ensure that the angle is measured relative to the correct axis (here, the x-axis).