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Parametric Grapher w/Velocity and Acceleration Vectors

Parametric Grapher w/Velocity and Acceleration Vectors
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2015-02-09 06:27
VectorCalculusParametric EquationGraphing
This example demonstrates parametric curves with velocity and acceleration vectors visualized. Core math concepts include vectors, parametric equations, and calculus concepts of velocity and acceleration. Constructed using GeoGebra commands like Vector, CurveCartesian, Sequence, etc. Ideal for high school and above students in calculus education.

GeoGebra Commands & Parameters

  1. Vector((f(t), g(t)), (f(t) + f''(t), g(t) + g''(t))) → a
  2. CurveCartesian(f(t), g(t), t, t_1, T) → a_1
  3. Sequence((f(k), g(k)), k, 1, T) → list1
  4. Textfield(f) → inputBox1
  5. Textfield(g) → inputBox2
  6. Vector((f(t), g(t)), (f(t) + f'(t), g(t) + g'(t))) → v
  7. Length(a) → b
  8. Max(MagA, t_1, T) → A
  9. Translate(MagAScaled, P) → MagAScaled'
  10. Vector(P, MagAScaled') → u
  11. Max(MagV, t_1, T) → B
  12. Translate(MagVScaled, P) → MagVScaled'
  13. Vector(P, MagVScaled') → w
  14. Length(v) → e
  15. Textfield(StartHere) → inputBox3
  16. Textfield(EndHere) → inputBox4