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Related Rates: Particle Traveling Problem

Related Rates: Particle Traveling Problem
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2016-10-21 21:05
CalculusDerivativeGeometric Construction
This example demonstrates a particle traveling problem, involving concepts of derivatives and related rates. Using GeoGebra commands such as Circle, Intersect, Polygon, etc., the motion of the particle and its velocity changes can be dynamically displayed. Suitable for high school mathematics teaching, particularly in calculus and derivatives.

GeoGebra Commands & Parameters

  1. Circle(G, b) → q
  2. Intersect(q, g, 1) → B_2
  3. Intersect(q, f, 2) → A_2
  4. Polygon(A_1, A_2, B_2) → poly1, c_1, a_1, b_1
  5. Segment(B_2, A_2) → w
  6. Ray(A_1, A_2) → i
  7. Ray(A_1, B_2) → j
  8. Distance(A_1, B_2) → distanceAC
  9. Segment(A_1, A_2) → k
  10. Segment(A_1, B_2) → l
  11. Intersect(f, xAxis) → C
  12. Intersect(f, xAxis) → E
  13. Intersect(f, xAxis) → H
  14. Intersect(q, g) → K, L
  15. Segment(A_1, L) → m
  16. Intersect(q, g, 1) → N
  17. Circle(L, 10) → d_1
  18. Intersect(d_1, g, 2) → O
  19. Segment(R, S) → h_1
  20. Segment(T, U) → i_1
  21. Ray(Z, B_1) → p_1
  22. Ray(G, C_1) → s
  23. Circle(A, 5) → c
  24. Intersect(f, xAxis) → D_1
  25. Intersect(c, y = 0) → E_1, F_1
  26. Ray(A, E_1) → t
  27. Segment(Z, A) → d
  28. Circle(W, 5) → e_1
  29. Intersect(e_1, g) → G_1, H_1
  30. Point(s) → I_1
  31. Intersect(e_1, x = 0) → I, J
  32. Circle(J, 5) → e
  33. Ray(B, J) → r
  34. Segment(P, B) → a
  35. Angle(Z, A_1, P) → β
  36. Segment(B, A) → p
  37. Textfield(u) → InputBox1