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Traffic Speed: 10

Traffic Speed: 10
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2016-03-08 04:01
FunctionTrigonometry
In collections Traffic
This example demonstrates the graphical representation of traffic speed. It involves concepts of functions and piecewise functions. Using GeoGebra commands such as Sequence, Segment, If, and Rotate, a dynamic traffic speed graph is constructed. Suitable for high school mathematics education, particularly for learning about functions and geometric constructions.

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. If(t ≤ 7, 1, -1) → amb_{up}
  9. Segment((-1.9, 200), (-1.1, 200)) → line_{200}
  10. Sequence((n, j(n)), n, 0, t_1) → markers_3
  11. Sequence(Translate[car_p, Vector[(0, j(0)), (i - j_y(i), j(i))]], i, 0, t_1) → photo_c
  12. Sequence(Translate[truck_p, Vector[(0, g(0)), (i - g_y(i), g(i))]], i, 0, t_1) → photo_r
  13. Sequence((i + 0.2, 105), i, 3, t_1) → crashphotos
  14. Rotate(C_1, 180°, C) → G_1
  15. Rotate(C_2, 180°, C) → G_2
  16. Rotate(C_3, 180°, C) → G_3
  17. Sequence(Translate[amb_p, Vector[(0, f(0)), (i, f(i))]], i, 0, Min[t_1, 7]) → photo_a
  18. Sequence(Translate[downamb_p, Vector[(0, f(0)), (i, f(i))]], i, 8, t_1) → photo_d