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Toy Cannon

Toy Cannon
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2016-02-23 05:21
FunctionTrigonometryTransformation
In collections Fun with Functions
This example illustrates the classic cannon problem (in a vacuum). It involves key mathematical concepts such as angles, vectors, and trigonometric functions. Using GeoGebra commands like Polygon, Rotate, and Locus, the trajectory of the cannonball can be dynamically demonstrated. Suitable for high school and above students learning coordinate geometry and calculus.

GeoGebra Commands & Parameters

  1. Polygon(A, E, D, C, B) → poly1, a, e, d, c, b
  2. Rotate(A, θ, O) → A'
  3. Rotate(E, θ, O) → E'
  4. Rotate(D, θ, O) → D'
  5. Rotate(C, θ, O) → C'
  6. Rotate(B, θ, O) → B'
  7. Polygon(A', E', D', C', B') → poly1', a', e', d', c', b'
  8. Locus(Ball, t) → loc1
  9. Ray(O, F) → h