Everyday Scenarios: Distance and Displacement Explained with Examples

📚 Quick Study Guide

• 📏 Distance: The total length of the path traveled by an object. It's a scalar quantity, meaning it only has magnitude (size).
• 🧭 Displacement: The shortest distance between the initial and final positions of an object, along with the direction. It's a vector quantity, meaning it has both magnitude and direction.
• ➕ Distance is always positive or zero; it can never be negative.
• ➖ Displacement can be positive, negative, or zero depending on the direction.
• 📐 Formula for displacement: $\Delta x = x_{final} - x_{initial}$, where $\Delta x$ is the displacement, $x_{final}$ is the final position, and $x_{initial}$ is the initial position.
• 🚶 Consider a person walking 5 meters east, then 3 meters west. The distance traveled is 8 meters, while the displacement is 2 meters east.

🧪 Practice Quiz

1. A student walks 3 meters north, then 4 meters east. What is the magnitude of their displacement?
   1. 5 meters
   2. 7 meters
   3. 1 meter
   4. 12 meters
2. A car drives 10 km east, then 5 km west. What is the car's displacement?
   1. 15 km east
   2. 5 km east
   3. 15 km west
   4. 5 km west
3. A runner completes one lap around a 400-meter track, returning to their starting point. What is the runner's displacement?
   1. 400 meters
   2. 800 meters
   3. 0 meters
   4. 200 meters
4. Which of the following is a scalar quantity?
   1. Displacement
   2. Velocity
   3. Speed
   4. Acceleration
5. A bird flies 5 meters south, then 5 meters north. What is the total distance traveled by the bird?
   1. 0 meters
   2. 5 meters
   3. 10 meters
   4. 25 meters
6. If an object's initial position is 2 meters and its final position is 8 meters, what is its displacement?
   1. 6 meters
   2. 10 meters
   3. -6 meters
   4. -10 meters
7. A dog runs 12 meters to fetch a ball and returns to its starting position. What is the dog's displacement?
   1. 0 meters
   2. 12 meters
   3. 24 meters
   4. -12 meters