Wave Pulse Reflection (Free & Fixed Ends)
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This example demonstrates the reflection of a wave pulse at the end of a string, comparing free and fixed end conditions. Key math concepts include wave propagation, reflection laws, and boundary conditions. Constructed using GeoGebra commands/objects: a (parameter), t (time), g (gravity), f (function), h (height), p (point), q (queue), b (string end), c (coordinates), d (dynamic object), e (display), button1, button2, button3, i (index), j (counter). Suitable for high school physics or mathematics courses, focusing on wave dynamics and geometric modeling.
GeoGebra Commands & Parameters
Numeric a(-3.0)Numeric t(-7.0)g(x) = If[x ≤ 0,(a * ℯ^((-(x + t)^(2))))]f(x) = If[x ≤ 15,((-a) * ℯ^((-(x - t)^(2))))]h(x) = If[x < 0,f(x) + g(x)]p(x) = If[x ≤ 0,((-a) * ℯ^((-(x + t)^(2))))]q(x) = If[x < 0,f(x) + p(x)]Boolean b(true)Boolean c(false)Boolean d(false)Boolean e(false)Line i(1.0, 0.0, 0.0)Line j(1.0, 0.0, 0.0)