John walks 2.00 km north, then turns right and walks 2.00 km east. His speed is 2.00 m/s during the entire stroll. Part A What is the magnitude of his displacement, from beginning to end? Express your answer in kilometers. ? d = km

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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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**Problem 1.75**

John walks 2.00 km north, then turns right and walks 2.00 km east. His speed is 2.00 m/s during the entire stroll.

**Part A**

What is the magnitude of his displacement, from beginning to end? Express your answer in kilometers.

\[ d = \, \_\_\_ \text{ km} \]

Incorrect; Try Again; 3 attempts remaining

---

**Explanation:**

John's motion can be visualized as a right-angled triangle where:

- The first leg is 2.00 km north.
- The second leg is 2.00 km east.

The displacement is the hypotenuse of this triangle, calculated using the Pythagorean theorem:

\[ \text{Displacement} = \sqrt{(2.00^2 + 2.00^2)} \]
Transcribed Image Text:**Problem 1.75** John walks 2.00 km north, then turns right and walks 2.00 km east. His speed is 2.00 m/s during the entire stroll. **Part A** What is the magnitude of his displacement, from beginning to end? Express your answer in kilometers. \[ d = \, \_\_\_ \text{ km} \] Incorrect; Try Again; 3 attempts remaining --- **Explanation:** John's motion can be visualized as a right-angled triangle where: - The first leg is 2.00 km north. - The second leg is 2.00 km east. The displacement is the hypotenuse of this triangle, calculated using the Pythagorean theorem: \[ \text{Displacement} = \sqrt{(2.00^2 + 2.00^2)} \]
**Problem Description:**

**Part B**

If Jane starts at the same time and place as John but walks in a straight line to the endpoint of John's stroll, at what speed should she walk if she wants to arrive at the endpoint just when John does?

**Instructions:**

Express your answer in meters per second.

**Answer Input:**

\[
v = \_\_\_\_ \ \text{m/s}
\]

**Submission Options:**
- [Submit]
- [Request Answer]

**Feedback Section:**
- [Provide Feedback]

This problem involves determining the necessary speed for Jane to reach the destination simultaneously with John, given her straight path.
Transcribed Image Text:**Problem Description:** **Part B** If Jane starts at the same time and place as John but walks in a straight line to the endpoint of John's stroll, at what speed should she walk if she wants to arrive at the endpoint just when John does? **Instructions:** Express your answer in meters per second. **Answer Input:** \[ v = \_\_\_\_ \ \text{m/s} \] **Submission Options:** - [Submit] - [Request Answer] **Feedback Section:** - [Provide Feedback] This problem involves determining the necessary speed for Jane to reach the destination simultaneously with John, given her straight path.
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