Calculating Amplitude of a Wave at x = 6 cm | Dynamics Explained

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The amplitude of a wave at a specific point, such as x = 6 cm, is not the same as the instantaneous displacement at that point. While there may be a node at x = 6 cm at a given moment, the amplitude represents the maximum displacement from the equilibrium position, which remains constant regardless of the node's position over time. Understanding this distinction is crucial for accurately calculating wave properties. Therefore, the amplitude is not zero, even if the instantaneous displacement is at a node. Clarifying these concepts is essential for solving wave-related problems correctly.
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For the wave shown in this drawing, what is the amplitude at x = 6 cm?
[Hint: Remember that the wave will be moving. So even though there presently is an node at x = 6 cm, this will change at a later time.]


I put 0 cm as the answer but I got it wrong and I don't understand why it's not zero. Could someone please help me?
 

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I think you need to understand the difference between the amplitude and the instantaneous displacement of the particle.
 

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