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Traffic: Acceleration 10

Traffic: Acceleration 10
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2016-03-08 04:11
FunctionCalculusGraphing
In collections Traffic
This example demonstrates the changes in traffic acceleration. It involves core mathematical concepts such as function graphs, piecewise functions, and random experiments. Using GeoGebra commands like Sequence, Segment, If, and Rotate, dynamic traffic acceleration curves can be constructed. Suitable for high school and above students learning calculus and function graphs.

GeoGebra Commands & Parameters

  1. Sequence((n, f(n)), n, 0, t_1) → list1
  2. Sequence((n, g(n)), n, 0, t_1) → list2
  3. Segment((-1.9, 200), (-1.1, 200)) → g_3
  4. Segment((-1.9, 0), (-1.1, 0)) → e
  5. Sequence(i - 0.4 < x < i + 0.4, i, 0, t_1) → photo_{road}
  6. Sequence(x = i - 0.4, i, 0, t_1) → left_{road}
  7. Sequence(x = i + 0.4, i, 0, t_1) → right_{road}
  8. Sequence(x = i, i, 0, t_1) → mid_{road}
  9. Sequence(Translate[truck_p, Vector[(0, f(0)), (i, f(i))]], i, 0, t_1) → photo_b
  10. If(0 ≤ t ≤ 5, -1, 1) → car_{up}
  11. Rotate(D_1, 180°, D) → E_1
  12. Rotate(D_2, 180°, D) → E_2
  13. Rotate(D_3, 180°, D) → E_3
  14. Sequence(Translate[car_p, Vector[(0, g(0)), (i - g_y(i), g(i))]], i, 0, Min[t_1, 5]) → photo_r
  15. Sequence(Translate[carup_{p}, Vector[(0, g(0)), (i - g_y(i), g(i))]], i, 6, t_1) → photo_c