timestamps

• 0:00

  Preface to Deriving Equations

• 0:32

  Importance of First Principles

• 1:03

  Conceptual Questions and Algebra

• 2:06

  Memorizing vs Deriving Equations

• 2:37

  Projectile Motion Setup

• 3:39

  Kinematic Equations Application

• 4:41

  Horizontal Motion Derivation

• 5:43

  Velocity Components

• 6:44

  Time Solving in Vertical

• 9:16

  Range Equation Derivation

• 10:55

  Final Range Expression

• 11:28

  Maximum Height Derivation

• 13:35

  Final Height Equation

• 14:38

  Box on Incline Setup

• 15:41

  Free Body Diagram

• 17:14

  Friction Force Derivation

• 18:48

  Acceleration Down Incline

• 21:22

  Maximum Angle for Slip

• 22:57

  Static Friction Case

• 24:01

  Solving for Theta

• 26:08

  Arctangent Identity

• 30:46

  Pulley System Setup

• 32:20

  Coordinate System Choice

• 34:26

  Free Body Diagrams

• 38:34

  Acceleration of System

• 40:09

  Physical Implications

• 43:46

  Kepler's Third Law Derivation

• 46:23

  Centripetal Force Equation

• 48:58

  Period and Radius Relation

• 50:31

  Binary Star System Case

• 54:08

  Mass Calculation Example

• 57:47

  Stream Recap and Equations

• 1:00:22

  Closing Remarks