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Traffic: Velocity 7

Traffic: Velocity 7
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2016-03-08 04:00
FunctionSequenceCoordinate GeometrySlider AnimationGraphing
In collections Traffic
This example demonstrates the relationship between velocity changes in traffic flow and the intersection of linear and step functions. Core math concepts include linear functions, step functions, intersection calculations, and sequence generation using GeoGebra commands like Sequence and Segment. Suitable for high school mathematics teaching focusing on function graphs and real-world applications.

GeoGebra Commands & Parameters

  1. Sequence((n, f(n)), n, 0, t_1) → markers_1
  2. Sequence((n, g(n)), n, 0, t_1) → markers_2
  3. Segment((-1.9, 0), (-1.1, 0)) → line_0
  4. Sequence(i - 0.4 < x < i + 0.4, i, 0, t_1) → photo_{road}
  5. Sequence(x = i - 0.4, i, 0, t_1) → left_{road}
  6. Sequence(x = i + 0.4, i, 0, t_1) → right_{road}
  7. Sequence(x = i, i, 0, t_1) → mid_{road}
  8. Sequence(Translate[truck_p, Vector[(0, f(0)), (i, f(i))]], i, 0, t_1) → photo_b
  9. Sequence(Translate[bike_p, Vector[(0, g(0)), (i - g_y(i), g(i))]], i, 0, t_1) → photo_r
  10. Segment((-1.9, 200), (-1.1, 200)) → line_{200}
  11. Sequence((n, j(n)), n, 0, t_1) → markers_3
  12. Sequence(Translate[car_p, Vector[(0, j(0)), (i - j_y(i), j(i))]], i, 0, t_1) → photo_c