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MerryGoRound Horizontal & Vertical Velocity Components

MerryGoRound Horizontal & Vertical Velocity Components
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2017-09-26 23:50
VectorTrigonometryGeometric Construction
In collections Math Year 4 Unit 1
This example demonstrates the horizontal and vertical velocity components of a MerryGoRound. Key mathematical concepts include vectors and trigonometry. Using GeoGebra commands such as Intersect, Circle, and Tangent, the motion trajectory of the MerryGoRound can be constructed. Suitable for high school physics and mathematics education.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → Center
  2. Circle(Center, 1) → MerryGoRound
  3. Tangent(Release, MerryGoRound) → f,
  4. Point(f) → Rate
  5. Ray(Release, Rate) → Path
  6. Segment(Center, Release) → g
  7. Line(Center, B) → h
  8. OrthogonalLine(Release, h) → i
  9. Intersect(i, h) → D
  10. Intersect(h, i) → E
  11. Intersect(h, g) → F
  12. Intersect(g, h) → G
  13. Angle(D, Center, Release) → β
  14. Point(i) → H
  15. Angle(H, Release, Rate) → γ
  16. OrthogonalLine(Rate, i) → j
  17. Intersect(j, i) → A
  18. Distance(Rate, Release) → distanceRateRelease
  19. Segment(Release, A) → k
  20. Segment(A, Rate) → l
  21. Angle(Rate, Release, A) → δ