A hiker walked 15 km NORTH in 3.50 h and noticed that he had missed a turn off. The hiker then walked 5.0 km SOUTH in 1.75 h. What was the hiker's final displacement?

To find the hiker's final displacement, we can break down the movements into their respective components and then calculate the net displacement.

1. **Initial Movement (North)**: 
   - Distance = 15 km
   - Direction = North

2. **Subsequent Movement (South)**: 
   - Distance = 5 km
   - Direction = South

### Calculation of Displacement:
- Total displacement in the North-South direction:
  \[
  \text{Net Displacement} = \text{Distance North} - \text{Distance South} = 15 \text{ km} - 5 \text{ km} = 10 \text{ km}
  \]

### Final Displacement:
- The hiker's final displacement is **10 km North**.

If you need any more details or have questions, feel free to ask! Here are some related questions you might consider:

1. How would the displacement change if the hiker walked further North?
2. What is the total distance traveled by the hiker?
3. How does displacement differ from distance?
4. If the hiker returns to the starting point, what would the final displacement be?
5. How would the scenario change if the hiker walked in a different direction after the initial movements?

**Tip:** Always keep track of directions when calculating displacement, as it can greatly affect the final result.

Explore how to calculate the final displacement of a hiker who walked 15 km North and then 5 km South, resulting in a net displacement of 10 km North. This problem illustrates vector analysis and the difference between distance and displacement. Suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation