MathPlotAI Logo MathPlotAI

Further Kinematics: Equilateral Triangles and Integral Calculus

Further Kinematics: Equilateral Triangles and Integral Calculus
Loading the math board and drawing, please wait…
2018-07-04 15:50
TriangleVectorIntegral
In collections Pearson Maths A level Statistics and Mechanics 2 Pearson Maths A level Statistics and Mechanics 2 Pearson Maths A level Statistics and Mechanics 2
This example demonstrates the combination of geometric properties of equilateral triangles with integral calculus. Core math concepts include equilateral triangle construction, vector operations, and integral applications. Construction highlights involve using GeoGebra commands like Sequence, Segment, Vector, Length, and Angle. Suitable for high school and above students to understand the integration of geometry and calculus.

GeoGebra Commands & Parameters

  1. Sequence(Segment[(-100, i), (100, i)], i, -50, 50, 1) → list2
  2. Sequence(Segment[(i, -100), (i, 100)], i, -50, 50, 1) → list4
  3. Segment(A, C) → f
  4. Segment(B, C) → g
  5. Vector(A, B) → v
  6. Length(v) → e
  7. Angle(B, C, A) → α
  8. Segment(A, B) → l
  9. Vector(D, E) → u
  10. Vector(D) → w
  11. Vector(E) → a