**Problem Statement:**You walk for 6.44 km with a constant velocity of 2.55 m/s due west, turn around, and then walk with an average velocity of 0.495 m/s due east. From your starting point to your destination, your overall average velocity is 1.27 m/s due west. During the trip, how far east did you walk?**Explanation:**There are a number of issues to think about in this problem:1. **Average Velocity**: The average velocity is the displacement, from the initial point to the final point, divided by the total time. 2. **Equation Set-Up**: Set up an equation for the average velocity in terms of the initial and final positions and the total time.3. **Time Calculation**: You can find the time it takes to walk west from the distance and velocity.4. **Expression Substitution**: You will need to substitute expressions for the velocity of each segment into the expression for the average velocity.5. **Watch Signs**: Be careful with the signs of positions and velocities.6. **Unit Conversions**: Ensure all units are properly converted and consistent.**Key Points to Consider:**- Calculate the time taken for each leg of the journey using \( \text{time} = \frac{\text{distance}}{\text{velocity}} \).- Combine these times to get the total time.- Use the total displacement and the total time to compute the average velocity.- Substitute back to solve for the required distance walked east.### Additional Materials- [Reading](#)

Answered: Image /qna-images/answer/2daef1f7-5fe0-46c2-ad3e-6001bc5f8fbc.jpg

You walk for 6.44 km with at a constant velocity of 2.55 m/s due west, turn around, and then walk with an average velocity of 0.495 m/s due east. From your starting point to your destination, your overall average velocity is 1.27 m/s due west. During the trip, how far east did you walk?

You walk for 6.44 km with at a constant velocity of 2.55 m/s due west, turn around, and then walk with an average velocity of 0.495 m/s due east. From your starting point to your destination, your overall average velocity is 1.27 m/s due west. During the trip, how far east did you walk?

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

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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Concept explainers

Relative Velocity

It is a measurement of an object with regards to the other object which is moving or stable or stationary. For example, if we are traveling in a bus and the bus is moving at speed of 50km/hr, then our speed is according to the nearby passenger on the bus is zero. According to them, we are not moving. But if one person standing on the ground or road observes us from outside of the bus, according to him we are moving at a speed of 50km/hr and the bus is also moving at a speed of 50km/hr. Now, the motion is recognized by the observer, it depends on a frame of reference or observer. This is motion called relative motion.

Question

**Problem Statement:**

You walk for 6.44 km with a constant velocity of 2.55 m/s due west, turn around, and then walk with an average velocity of 0.495 m/s due east. From your starting point to your destination, your overall average velocity is 1.27 m/s due west. During the trip, how far east did you walk?

**Explanation:**

There are a number of issues to think about in this problem:

1. **Average Velocity**: The average velocity is the displacement, from the initial point to the final point, divided by the total time.
2. **Equation Set-Up**: Set up an equation for the average velocity in terms of the initial and final positions and the total time.
3. **Time Calculation**: You can find the time it takes to walk west from the distance and velocity.
4. **Expression Substitution**: You will need to substitute expressions for the velocity of each segment into the expression for the average velocity.
5. **Watch Signs**: Be careful with the signs of positions and velocities.
6. **Unit Conversions**: Ensure all units are properly converted and consistent.

**Key Points to Consider:**

- Calculate the time taken for each leg of the journey using \( \text{time} = \frac{\text{distance}}{\text{velocity}} \).
- Combine these times to get the total time.
- Use the total displacement and the total time to compute the average velocity.
- Substitute back to solve for the required distance walked east.

### Additional Materials

- [Reading](#)

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