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The problem involves a plane flying at a velocity of 630.0 km/h, at an angle of 28.0° north of west. You are tasked with:

1. Drawing a diagram to represent the plane's velocity as a vector.
2. Determining the components of the plane's velocity (both horizontal and vertical).
3. Finding the vertical component of the wind's velocity.

### To approach the problem:
- The velocity of the plane makes a 28° angle north of the west direction. We can decompose this velocity vector into its horizontal (westward) and vertical (northward) components using trigonometry.
  
Let’s break down the velocity vector:
- **Total velocity (v)** = 630.0 km/h
- **Angle (θ)** = 28.0° north of west

Using trigonometric functions:
- The **horizontal component** (westward, \( v_x \)) is found using \( v_x = v \cdot \cos(\theta) \)
- The **vertical component** (northward, \( v_y \)) is found using \( v_y = v \cdot \sin(\theta) \)

Now, let's calculate these components:

1. **Horizontal component \( v_x \):**
   \[
   v_x = 630.0 \cdot \cos(28.0^\circ)
   \]

2. **Vertical component \( v_y \):**
   \[
   v_y = 630.0 \cdot \sin(28.0^\circ)
   \]

I will now compute the numerical values of the components.The components of the plane's velocity are:

1. **Horizontal component (westward, \( v_x \))**: 556.26 km/h
2. **Vertical component (northward, \( v_y \))**: 295.77 km/h

This means the plane is moving westward at approximately 556.26 km/h and northward at 295.77 km/h.

Would you like a detailed diagram or further clarification on any part? Here are some related questions you may want to consider:

1. What is the direction of the resultant velocity relative to the horizontal?
2. How would the velocity components change if the angle was 45° instead of 28°?
3. What would be the total distance covered by the plane in 2 hours?
4. How can you

A plane is flying 630.0 km/h at 28.0° north of west in still air. Draw a diagram of the plane's velocity (as a vector arrow) and determine the components of the plane's velocity. What is the vertical component (v_y) of the plane's velocity?

Learn how to decompose the velocity of a plane flying at 630.0 km/h, 28.0° north of west, into horizontal and vertical components using trigonometry. Suitable for students in Grades 10-12, this problem covers vector decomposition and basic trigonometric functions.

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