MathPlotAI Logo MathPlotAI

Special Relativity Calculator

Special Relativity Calculator
Loading the math board and drawing, please wait…
2015-04-06 17:09
VectorCoordinate GeometryGeometric Construction
This example demonstrates time dilation and length contraction in Special Relativity. It involves core concepts like Lorentz factor, 4D spacetime, and vector operations. Construction uses commands like Vector, Point, Segment, LaTeX, Line to visualize velocity vectors, Lorentz factor, and transformed coordinate systems. Suitable for high school and above physics and mathematics students to visualize relativistic basics.

GeoGebra Commands & Parameters

  1. Vector((x(Intersect[xAxis, Line[Intersect[Line[(1, 0), y = (-1 / v * x)], y = ((-v) * x)], Line[(1, 0), (γ, ((-v) * γ))]]]), y(Intersect[yAxis, Line[Intersect[Line[(1, 0), y = ((-v) * x)], y = (-1 / v * x)], Line[(0, 1), (((-γ) * v), γ)]]]))) → u
  2. Vector((x(Intersect[xAxis, Line[Intersect[Line[(0, 1), y = (-1 / v * x)], y = ((-v) * x)], Line[(1, 0), (γ, ((-v) * γ))]]]), y(Intersect[yAxis, Line[Intersect[Line[(0, 1), y = ((-v) * x)], y = (-1 / v * x)], Line[(0, 1), (((-γ) * v), γ)]]]))) → w
  3. Vector((x(Intersect[xAxis, Line[Intersect[Line[(1, 0), y = (1 / v * x)], y = (v * x)], Line[(1, 0), (γ, (v * γ))]]]), y(Intersect[yAxis, Line[Intersect[Line[(1, 0), y = (v * x)], y = (1 / v * x)], Line[(0, 1), ((γ * v), γ)]]]))) → c
  4. Vector((x(Intersect[xAxis, Line[Intersect[Line[(0, 1), y = (1 / v * x)], y = (v * x)], Line[(1, 0), (γ, (v * γ))]]]), y(Intersect[yAxis, Line[Intersect[Line[(0, 1), y = (v * x)], y = (1 / v * x)], Line[(0, 1), ((γ * v), γ)]]]))) → d
  5. Point(yAxis) → T
  6. Segment(s_i, s_f) → j
  7. LaTeX(γ, true, true) → testo1
  8. Line(D, h) → m
  9. Line(F, g_1) → n
  10. Line(D', h) → p
  11. Line(H, g_1) → q
  12. Line(D_1, h) → r
  13. Line(D_1', h) → s
  14. Line(F_1, g_1) → t
  15. Line(G, g_1) → a_1