https://file.aiquickdraw.com/mathbot/file/1725884200678yeys361n.jpg

The question asks: "A cyclist rides 15 km north, then 15 km south. What is the displacement?"

**Displacement** refers to the straight-line distance between the starting point and the final position, along with the direction. In this case:

- The cyclist rides 15 km north.
- Then, the cyclist rides 15 km south.

Since the cyclist returns to the starting point (traveling back exactly the same distance in the opposite direction), the displacement is **0 km**. Displacement depends only on the starting and ending points, not the total distance traveled.

Would you like more details or have any further questions?

Here are 5 related questions to help deepen your understanding:

1. What is the difference between distance and displacement?
2. If the cyclist rode 15 km north and then 10 km south, what would the displacement be?
3. How does direction affect the calculation of displacement in 2D motion?
4. Can displacement ever be greater than the distance traveled?
5. How is displacement calculated in circular motion?

**Tip:** Always remember that **distance** measures the total path traveled, while **displacement** focuses on the shortest path between start and finish with direction included.

A cyclist rides 15 km north, then 15 km south. What is the displacement?

Understand the concept of displacement with a simple example where a cyclist rides 15 km north and then 15 km south. This problem covers 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