Time Proportional to Length at Constant Speed
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The Domain of the Time (intuitive kinematics)
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
Circle(O, r) → cSegment(O, P) → aPoint(c) → BPoint(a) → AAngle(Q, O, B) → αCircleSector(O, Q, B) → eSegment(O, B) → dSegment(O, Q) → b