Time Proportional to Length at Constant Speed

Time Proportional to Length at Constant Speed
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2024-10-14 20:10
This GeoGebra example visualizes the linear proportionality between time and distance traveled under constant speed. It demonstrates how equal time intervals correspond to equal arc lengths on a circle, linking geometric rotation to kinematic concepts. Core mathematical ideas include direct proportion, uniform motion, and the relationship between central angle and arc length. The construction uses

GeoGebra Commands & Parameters

  1. Circle(O, r) → c
  2. Segment(O, P) → a
  3. Point(c) → B
  4. Point(a) → A
  5. Angle(Q, O, B) → α
  6. CircleSector(O, Q, B) → e
  7. Segment(O, B) → d
  8. Segment(O, Q) → b