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Velocity, Position, and Acceleration vs. Time Graphs by Saumya Patel

Velocity, Position, and Acceleration vs. Time Graphs by Saumya Patel
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2015-07-06 09:58
VectorFunctionCalculusGraphing
This example demonstrates how adjusting the shape of a Velocity vs. Time graph affects corresponding Position vs. Time and Acceleration vs. Time graphs. Key math concepts include function graphing, kinematics, derivatives, and integrals. Constructed using GeoGebra commands like Segment, Midpoint, and Point, with Slider animations to manipulate points dynamically. Ideal for high school physics and mathematics education to explore motion relationships and calculus applications.

GeoGebra Commands & Parameters

  1. Segment((9, -4), (9, 4)) → m5
  2. Segment((8, -4), (8, 4)) → m4
  3. Segment((7, -4), (7, 4)) → m3
  4. Segment((6, -4), (6, 4)) → m2
  5. Segment((5, -4), (5, 4)) → m1
  6. Segment(A, B) → a_3
  7. Midpoint(a_3) → D
  8. Segment(D, C) → b
  9. Segment(A_1, B_1) → a_1
  10. Midpoint(a_1) → D_1
  11. Segment(D_1, C_1) → b_1
  12. Segment(A_2, B_2) → a_2
  13. Midpoint(a_2) → D_2
  14. Segment(D_2, C_2) → b_2
  15. Point(m1) → E
  16. Point(m2) → F
  17. Segment(E, F) → a
  18. Point(m3) → G
  19. Segment(F, G) → c
  20. Point(m4) → H
  21. Segment(G, H) → d
  22. Point(m5) → I
  23. Segment(H, I) → e
  24. Segment(J, K) → f
  25. Segment(K, L) → g
  26. Segment(L, M) → h
  27. Segment(M, N) → i
  28. Segment(N, O) → j
  29. Segment(O, P) → k
  30. Segment(P, Q) → l