Classical Mechanics

  1. Kinematics: The Description of Motion
    1. Motion in One Dimension
      1. Position, Displacement, and Distance
        1. Position as a Function of Time
          1. Displacement vs. Distance Traveled
            1. Coordinate Systems and Sign Conventions
            2. Velocity
              1. Average Velocity
                1. Definition and Calculation
                  1. Graphical Interpretation
                  2. Instantaneous Velocity
                    1. Limit Definition
                      1. Calculating Velocity from Position
                        1. Velocity-Time Graphs
                      2. Acceleration
                        1. Average Acceleration
                          1. Definition and Calculation
                          2. Instantaneous Acceleration
                            1. Graphical Interpretation
                              1. Calculating Acceleration from Velocity
                                1. Acceleration-Time Graphs
                              2. Motion with Constant Acceleration
                                1. Kinematic Equations
                                  1. Derivation from Definitions
                                    1. Four Standard Equations
                                    2. Applications and Problem Solving
                                      1. Choosing Appropriate Equations
                                        1. Initial Conditions
                                      2. Free Fall
                                        1. Acceleration Due to Gravity
                                          1. Value and Direction
                                            1. Variation with Location
                                            2. Motion of Objects Under Gravity
                                              1. Vertical Motion
                                                1. Air Resistance Neglected
                                            3. Motion in Two and Three Dimensions
                                              1. Position, Velocity, and Acceleration Vectors
                                                1. Vector Representation of Motion
                                                  1. Time Derivatives of Vectors
                                                    1. Component Analysis
                                                    2. Projectile Motion
                                                      1. Assumptions and Idealizations
                                                        1. Equations of Projectile Motion
                                                          1. Horizontal Component
                                                            1. Vertical Component
                                                            2. Range, Maximum Height, and Time of Flight
                                                              1. Derivation of Formulas
                                                                1. Optimization Problems
                                                                2. Trajectory Equations
                                                                3. Uniform Circular Motion
                                                                  1. Centripetal Acceleration
                                                                    1. Direction and Magnitude
                                                                      1. Derivation
                                                                      2. Period and Frequency
                                                                        1. Relationships
                                                                          1. Angular Velocity
                                                                          2. Applications
                                                                            1. Satellites
                                                                              1. Rotating Objects
                                                                            2. Relative Velocity
                                                                              1. Reference Frames
                                                                                1. Inertial and Non-Inertial Frames
                                                                                2. Addition of Velocities
                                                                                  1. Vector Addition Rules
                                                                                    1. Relative Motion Problems

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                                                                              2. Mathematical Preliminaries

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                                                                              4. Dynamics: The Laws of Motion