Classical Mechanics

1. Kinematics
   1. Describing Motion
      1. Displacement
         1. Definition and Characteristics
            1. Vector Quantity
            2. Difference from Distance
            3. Components in Different Coordinate Systems
         2. Graphical Representation
            1. Displacement-Time Graphs
            2. Interpreting Slope and Area Under Curve
         3. Calculating Displacement
            1. In One Dimension
            2. In Two and Three Dimensions
      2. Velocity
         1. Definition and Characteristics
            1. Vector Quantity
            2. Difference from Speed
            3. Instantaneous vs. Average Velocity
         2. Graphical Analysis
            1. Velocity-Time Graphs
            2. Relationship to Displacement
         3. Velocity Calculations
            1. Constant Velocity
            2. Changing Velocity and Acceleration Considerations
      3. Acceleration
         1. Definition and Characteristics
            1. Vector Quantity
            2. Uniform vs. Non-Uniform Acceleration
         2. Graphical Representation
            1. Acceleration-Time Graphs
            2. Interpreting Graphs for Motion Analysis
         3. Calculating Acceleration
            1. Using Velocity-Time Relationships
            2. Average and Instantaneous Acceleration
   2. Types of Motion
      1. Linear Motion
         1. Uniform Linear Motion
            1. Characteristics and Equations
            2. Examples in Real-Life Situations
         2. Uniformly Accelerated Motion
            1. Equations of Motion
            2. Applications and Graphical Interpretations
      2. Projectiles
         1. Motion Characteristics
            1. Horizontal and Vertical Components
            2. Independence of Perpendicular Components
         2. Equations for Projectile Motion
            1. Range, Maximum Height, Time of Flight
            2. Effects of Initial Velocity and Launch Angle
         3. Practical Applications
            1. Sports, Engineering, and Military Uses
      3. Circular Motion
         1. Types of Circular Motion
            1. Uniform Circular Motion
            2. Non-Uniform Circular Motion (Angular Acceleration)
         2. Describing Circular Motion
            1. Angular Displacement, Velocity, and Acceleration
            2. Relationship Between Linear and Angular Quantities
         3. Centripetal Force and Acceleration
            1. Calculations and Physical Implications
            2. Examples in Satellites, Amusement Rides
      4. Relative Motion
         1. Concept of Relative Velocity
            1. Definition and Calculations
            2. Common Scenarios (e.g., boats in river currents)
         2. Apparent vs. Actual Motion
            1. Frames of Reference
            2. Solving Problems in Different Reference Frames
         3. Transformation of Velocities
            1. Galilean Transformation Equations
            2. Comparing with Modern Relativistic Approaches