DP Physics Questionbank
A.3 – Spacetime diagrams
Description
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
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:
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
Directly related questions
- 18M.3.SL.TZ2.4d.ii: Estimate, using the spacetime diagram, the time at which event B occurs for the spaceship.
- 18M.3.SL.TZ2.4d.i: Construct event A and event B on the spacetime diagram.
- 18M.3.SL.TZ1.5b: Deduce, showing your working on the spacetime diagram, the value of ct according to the Earth...
- 18M.3.SL.TZ1.5a: Draw on the spacetime diagram the worldline of B according to the Earth observer and label it B.
- 17N.3.SL.TZ0.6d: For an observer on the train, it is the tunnel that is moving and therefore will appear length...
- 17N.3.SL.TZ0.6c: Calculate the velocity of the train, according to an observer at rest relative to the tunnel, at...
- 17N.3.SL.TZ0.6b: Draw a spacetime diagram for this situation according to an observer at rest relative to the tunnel.
- 17M.3.SL.TZ2.5c.i: On the diagram label the coordinates x and ct.
- 17M.3.SL.TZ2.5c.ii: State and explain whether the ct coordinate in (c)(i) is less than, equal to or greater than 1.0 m.
- 17M.3.SL.TZ1.4d.ii: Deduce, using the spacetime diagram, which light was turned on first according to observer P.
- 17M.3.SL.TZ1.4d.i: Draw the time \(ct'\) and space \(x'\) axes for observer P’s reference frame on the spacetime...
- 16N.3.SL.TZ0.7d: Suggest how the twin paradox arises and how it is resolved.
- 16N.3.SL.TZ0.7c: Draw, for the reference frame of twin A, a spacetime diagram that represents the worldlines for...
- 16N.3.SL.TZ0.7b: Determine the time taken for the journey in the reference frame of twin B.
- 16N.3.SL.TZ0.7a: Calculate the time taken for the journey in the reference frame of twin A as measured on Earth.
- 16N.3.SL.TZ0.6c: An event Z is shown on the diagram. Label the co-ordinates of this event in the reference frame...
- 16N.3.SL.TZ0.6b: Draw, on the diagram, the x′-axis for the reference frame of S.
- 16N.3.SL.TZ0.6a: Calculate the angle between the worldline of S and the worldline of the Earth.
- 16M.3.HL.TZ0.6c: Three flashing light beacons, X, Y and Z, are used to guide another rocket C. The flash events...
- 16M.3.HL.TZ0.6b: One rocket passes the other at event E. For the reference frame of the Earth observer,...
- 16M.3.HL.TZ0.6a: For the reference frame of the Earth observer, calculate the speed of rocket A in terms of the...
- 16M.3.SL.TZ0.6b: Using the graph opposite, deduce the order in which (i) the beacons flash in the reference frame...
- 16M.3.SL.TZ0.6a: For the reference frame of the Earth observer, calculate the speed of rocket A in terms of the...
- 15N.3.HL.TZ0.12c.ii: Suzanne then returns to the base station at the same speed. The total time since leaving the base...
- 11M.3.HL.TZ2.17b: State the shape of the path in spacetime of a body (i) moving at constant velocity. (ii)...
- 11M.3.HL.TZ2.17a: Describe what is meant by spacetime.
- 13N.3.HL.TZ0.14a: Describe what is meant by spacetime.