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Traffic Speed Graph

Traffic Speed Graph
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2016-03-08 03:54
FunctionCalculusGraphing
In collections Traffic
This example demonstrates the changes in traffic speed. It involves core mathematical concepts such as function graphs and linear regression. Using GeoGebra commands like Sequence and Segment, the graph of traffic speed over time can be constructed. Suitable for high school and above students.

GeoGebra Commands & Parameters

  1. Sequence((n, g(n)), n, 0, t_1) → list2
  2. Segment((-1.9, 0), (-1.1, 0)) → road_0
  3. Sequence(i - 0.4 < x < i + 0.4, i, 0, t_1) → photo_{road}
  4. Sequence(x = i - 0.4, i, 0, t_1) → left_{road}
  5. Sequence(x = i + 0.4, i, 0, t_1) → right_{road}
  6. Sequence(x = i, i, 0, t_1) → mid_{road}
  7. Sequence(Translate[car_p, Vector[(0, g(0)), (i - g_y(i), g(i))]], i, 0, t_1) → photo_r
  8. Segment((-1.9, 200), (-1.1, 200)) → road_{200}

AI Drawing Prompt Reference

Draw a curve showing how traffic speed changes over time from 0 to t1, with a vertical line every 0.4 units as road boundaries, a line segment from -1.9 to -1.1 to represent the road start, and a series of line segments to indicate a speed of 200 km/h.
The prompt above was compiled from the original drawing commands and is for reference only.