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• Introduction
  • Overview
• Units
  • Fundamental units
  • Other quantities
  • Conversion of units
    • Length conversion
    • Speed conversion
    • Density conversion
  • Dimensional analysis
• Motion in one dimension
  • Definition of velocity
    • Average velocity
    • Instantaneous velocity
      • Example of a limit
    • Speed
  • Acceleration
    • Average acceleration
    • Instantaneous acceleration
  • Motion with constant acceleration
    • Velocity as a function of time and initial conditions
    • Position as a function of time.
    • Straightforward example
      • Solution
    • A little less straightforward example
      • Solution
    • An even less straightforward example
      • Solution
    • Relations between other quantities
• Vectors
  • Representation of vectors in Cartesian coordinates.
    • scalars
  • Representation of vectors in polar coordinates.
  • Examples of vectors and scalars
  • Addition of vectors
  • Multiplying vectors by real numbers
  • Subtracting vectors
  • Unit vectors
  • i, j and k
  • scalar product
    • Example: methane
• Motion in two and three dimensions
  • Definition of velocity
    • The average velocity
    • The instantaneous velocity
  • Definition of acceleration
    • Average acceleration
    • Instantaneous acceleration
  • Circular motion
    • Question
      • Answer:
  • Motion with constant acceleration
    • Application to free fall
      • The shape of the trajectory
      • The range of a projectile
      • The maximum height of a projectile
    • Example: The Monkey and Z
      • Solution
  • Motion in different reference frames
    • Cycloidal motion
• About this document ...