Speed vs Braking Distance

Speed vs Braking Distance
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2019-11-11 08:53
This example demonstrates the relationship between speed and braking distance, visually showing how braking distance increases quadratically with speed through function graphs. Key math concepts include functions, power functions, quadratic functions, and optimization problems. GeoGebra commands used in construction are FitPow for power function fitting, Point for creating points, and OrthogonalLine for drawing perpendicular lines. Suitable for high school students learning function modeling and optimization, or physics teachers demonstrating kinematics principles.

GeoGebra Commands & Parameters

  1. FitPow(L_2) → g
  2. FitPow(L_5) → p
  3. Point(g) → A
  4. OrthogonalLine(A, xAxis) → f
  5. OrthogonalLine(A, yAxis) → h
  6. Point(p) → B
  7. OrthogonalLine(B, yAxis) → i
  8. OrthogonalLine(B, xAxis) → j