🌈 Mind Map — Graphs of Motion
1️⃣ Definition of Graph:
A graph shows a relationship between two variables.
Independent variable → X-axis, Dependent variable → Y-axis.
2️⃣ Graphical Representation of Motion:
Time → X-axis, Displacement / Velocity / Acceleration → Y-axis.
Helps study the nature of motion.
3️⃣ Types of Motion Graphs:
- Displacement–Time graph
- Velocity–Time graph
- Acceleration–Time graph
4️⃣ Displacement–Time Graph:
- Body at rest
- Uniform motion
- Non-uniform motion → (rate decreasing / rate increasing)
5️⃣ Velocity–Time Graph:
- Body at rest
- Uniform motion
- Constant rate of change of velocity (uniform acceleration)
- Non-constant rate (non-uniform acceleration)
6️⃣ Acceleration–Time Graph:
- Uniform motion (acceleration = 0)
- Uniform acceleration
- Non-uniform acceleration
7️⃣ Area & Slope of Graphs:
- Area of Velocity–Time graph → Displacement
- Area of Acceleration–Time graph → Velocity
- Slope of Displacement–Time graph → Velocity
- Slope of Velocity–Time graph → Acceleration
