Distance and Displacement
Learning Objectives
- Students will be able to distinguish between distance and displacement
- Students will understand that displacement is a vector quantity
- Students will calculate displacement from position changes
Core Concepts
- Distance: total path length traveled (scalar)
- Displacement: change in position (vector)
- Path taken doesn't affect displacement, only endpoints do
Formulas
$$\Delta x = x_f - x_i$$
Vector change in position
Interesting Fact
Archimedes used displacement to measure the volume and weight of irregular objects
Key Scientist
Archimedes
Used displacement (volume) concepts in his principle of hydrostatics
Modern Research
GPS and inertial navigation systems track displacement vectors to determine object locations; autonomous vehicles compute optimal displacement paths.
Want to truly master this? Try the interactive lesson!
Start Lesson