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Traffic: Velocity 9

Traffic: Velocity 9
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2016-03-08 04:01
FunctionCoordinate GeometryCalculusDerivativeLimit
In collections Traffic
This example demonstrates velocity variations in traffic flow with graphical displays. Core math concepts include function graphs, diagram creation, tangent lines, arithmetic mean, and limits. Construction involves commands like Sequence and Segment, utilizing objects such as j_2 to g_y, t to k, and A to text2. Suitable for high school and above, focusing on function graphing, limit and derivative applications, and data analysis.

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. 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[redcar_p, Vector[(0, g(0)), (i - g_y(i), g(i))]], i, 0, t_1) → photo_r
  13. Sequence((i + 0.2, 100), i, 5, t_1) → crashphoto