Please answer the following question(s): Jack walks 3 km 45° south of east (Leg 1). He then changes directions and walks another 5 km 53° north of west (Leg 2). What is Jack's displacement (magnitude and direction)? Use the graphical method

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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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The image contains a vector diagram set on a coordinate grid with axes labeled as North, South, East, and West. The grid is divided into 1 km increments, spanning from -4 km to 4 km on both axes.

**Instructions:**
1. Drag and drop the heads and tails of vectors Leg 1 and Leg 2 to compose the vector sum.
2. Show the vector sum \( \vec{R} \).
3. Your vectors must be within 0.6 km of the correct values.

**Legend:**
- **Leg 1**: Represented by a dashed blue arrow moving vertically upward. The vector length is 2.38 km, and it's angled at 89.83°.
- **Leg 2**: Represented by a dashed red arrow also moving vertically upward, parallel to Leg 1. This vector is 2 km in length at an angle of 90°.
- **R**: Represented by a solid black arrow moving vertically upward along the y-axis. This vector is 2 km at an angle of 90°.

The vectors are displayed on the grid to demonstrate vector addition, with both Leg 1 and Leg 2 moving in the northward direction and resulting in vector \( \vec{R} \).
Transcribed Image Text:The image contains a vector diagram set on a coordinate grid with axes labeled as North, South, East, and West. The grid is divided into 1 km increments, spanning from -4 km to 4 km on both axes. **Instructions:** 1. Drag and drop the heads and tails of vectors Leg 1 and Leg 2 to compose the vector sum. 2. Show the vector sum \( \vec{R} \). 3. Your vectors must be within 0.6 km of the correct values. **Legend:** - **Leg 1**: Represented by a dashed blue arrow moving vertically upward. The vector length is 2.38 km, and it's angled at 89.83°. - **Leg 2**: Represented by a dashed red arrow also moving vertically upward, parallel to Leg 1. This vector is 2 km in length at an angle of 90°. - **R**: Represented by a solid black arrow moving vertically upward along the y-axis. This vector is 2 km at an angle of 90°. The vectors are displayed on the grid to demonstrate vector addition, with both Leg 1 and Leg 2 moving in the northward direction and resulting in vector \( \vec{R} \).
**Knowledge Check: Jack’s Displacement, Graphical Method Part 1**

**Please answer the following question(s):**

Jack walks 3 km 45° south of east (Leg 1).  
He then changes directions and walks another 5 km 53° north of west (Leg 2).  
What is Jack's displacement (magnitude and direction)?  
Use the graphical method.

**Note:** The angles in the applet are measured from the east.

**Graph Explanation:**

The graph features a grid with axes labeled “West” to “East” horizontally, and “North” vertically. It measures distances in kilometers, ranging from -4 km to 4 km.

- **Vectors:**
  - A solid blue arrow (Leg 1) extends from the origin, angled 45° south of east, ending at approximately (2.1 km, -2.1 km).
  - A dashed red arrow (Leg 2) originates near (2.1 km, -2.1 km), angled 53° north of west, and extends to approximately (-3 km, 4 km).
  - A solid black arrow shows the overall displacement from the origin to the endpoint of Jack’s path.

**Instructions:**
   
1. Drag and drop the heads and tails of vectors Leg 1 and Leg 2 to compose Jack’s complete displacement.
Transcribed Image Text:**Knowledge Check: Jack’s Displacement, Graphical Method Part 1** **Please answer the following question(s):** Jack walks 3 km 45° south of east (Leg 1). He then changes directions and walks another 5 km 53° north of west (Leg 2). What is Jack's displacement (magnitude and direction)? Use the graphical method. **Note:** The angles in the applet are measured from the east. **Graph Explanation:** The graph features a grid with axes labeled “West” to “East” horizontally, and “North” vertically. It measures distances in kilometers, ranging from -4 km to 4 km. - **Vectors:** - A solid blue arrow (Leg 1) extends from the origin, angled 45° south of east, ending at approximately (2.1 km, -2.1 km). - A dashed red arrow (Leg 2) originates near (2.1 km, -2.1 km), angled 53° north of west, and extends to approximately (-3 km, 4 km). - A solid black arrow shows the overall displacement from the origin to the endpoint of Jack’s path. **Instructions:** 1. Drag and drop the heads and tails of vectors Leg 1 and Leg 2 to compose Jack’s complete displacement.
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