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Instantaneous Velocity Demo

Instantaneous Velocity Demo
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2018-06-06 22:01
FunctionCalculusDerivativeGraphing
This example demonstrates how to compute and visualize instantaneous velocity using geometric methods. It involves core math concepts like derivatives, function graphs, tangent lines, intersection points, and parameter changes. Constructed with GeoGebra commands and objects such as Intersect, Point, Tangent, Textfield, Segment, and Slider. Suitable for high school and above students to learn and understand the concept of instantaneous velocity in calculus, and also for physics teaching.

GeoGebra Commands & Parameters

  1. Intersect(s, y = 0, (1.690308507684875, 1.048422948457528E-8)) → xint
  2. Point(height) → P
  3. Tangent(P, height) → L
  4. Textfield(s0) → InputBox1
  5. Textfield(v0) → InputBox2
  6. Textfield(a) → InputBox3
  7. Intersect(s_1, y = 0, (1.690308507684875, 1.048422948457528E-8)) → xint_1
  8. Point(height_1) → P_1
  9. Tangent(P_1, height_1) → L_1
  10. Textfield(s0) → InputBox1_1
  11. Textfield(v0) → InputBox2_1
  12. Textfield(a) → InputBox3_1
  13. Segment(P, (x(P), 0)) → vl
  14. Segment(P, (0, y(P))) → hl