Spacetime diagrams

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Nature of science:

Visualization of models: The visualization of the description of events in terms of spacetime diagrams is an enormous advance in understanding the concept of spacetime. (1.10)

Understandings:
  • Spacetime diagrams
  • Worldlines
  • The twin paradox

Applications and skills:

  • Representing events on a spacetime diagram as points
  • Representing the positions of a moving particle on a spacetime diagram by a curve (the worldline)
  • Representing more than one inertial reference frame on the same spacetime diagram
  • Determining the angle between a worldline for specific speed and the time axis on a spacetime diagram
  • Solving problems on simultaneity and kinematics using spacetime diagrams
  • Representing time dilation and length contraction on spacetime diagrams
  • Describing the twin paradox
  • Resolving of the twin paradox through spacetime diagrams
Theory of knowledge:
  • Can paradoxes be solved by reason alone, or do they require the utilization of other ways of knowing?

Aims:

  • Aim 4: spacetime diagrams allow one to analyse problems in relativity more reliably
Guidance:
  • Examination questions will refer to spacetime diagrams; these are also known as Minkowski diagrams
  • Quantitative questions involving spacetime diagrams will be limited to constant velocity
  • Spacetime diagrams can have t or ct on the vertical axis
  • Examination questions may use units in which c = 1

Data booklet reference:

 

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