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Traffic: Acceleration 6

Traffic: Acceleration 6
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2016-03-08 04:08
FunctionCalculusDerivative
In collections Traffic
This example demonstrates the changes in acceleration in traffic. Key mathematical concepts include function graphs, derivatives, and polynomial functions. Using GeoGebra commands such as Sequence and Segment, a dynamic traffic scenario is 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[bike_p, Vector[(0, g(0)), (i - g_y(i), g(i))]], i, 0, t_1) → photo_r
  10. Sequence(Translate[car_p, Vector[(0, f(0)), (i, f(i))]], i, 0, t_1) → photo_b