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
Philosophy
Displacement separates path (what happened) from outcome (where we ended up), reflecting philosophical distinction between process and result.
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