PhysicsPlease help me with this Physics homework question ### Question 6Suppose you walk 23 m straight west and then 14 m straight north. Answer all questions assuming the \( +x \) - axis is to the east.- **How far are you from your starting point?**\[ D = \boxed{ \ \ \ \ \ \ \ \ } \text{ m} \]- **What is your displacement vector?**\[ \Delta \vec{x} = (\boxed{ \ \ \ \ \ \ \ \ } \hat{x} + \boxed{ \ \ \ \ \ \ \ \ } \hat{y}) \text{ m} \]- **What is the direction of your displacement?**\[ \theta = \boxed{ \ \ \ \ \ \ \ \ } \text{ degrees relative to the } +x \text{ - axis.} \]#### Hints- [Hint 1](#)- [Hint 2](#)### Explanation:In this problem, you are required to calculate the overall displacement and direction after walking a certain distance west and north from your starting point. The "+x" axis is to the east, which means west corresponds to the negative x-direction and north corresponds to the positive y-direction. 1. **Distance from starting point (D)**: This can be found using the Pythagorean theorem where the legs of the right triangle are 23 m and 14 m. 2. **Displacement Vector (\(\Delta \vec{x}\))**: This vector is expressed in terms of its x-component and y-component. Walking west 23 m gives an x-component of -23, and walking north 14 m gives a y-component of +14. 3. **Direction (\(\theta\))**: The direction of the vector can be found using trigonometry, specifically the arctangent function, to find the angle of the displacement vector relative to the positive x-axis.Please replace the boxed spaces with your calculations.

Name: PhysicsPlease help me with this Physics homework question ### Question
Uploaded: 2024-03-20T06:57:47.000Z
Channel: Bartleby
Description: PhysicsPlease help me with this Physics homework question ### Question 6Suppose you walk 23 m straight west and then 14 m straight north. Answer all questions assuming the \( +x \) - axis is to the east.- **How far are you from your starting point?**