Two progressive waves \(Y_1 = \sin 2\pi \left(\frac{t}{0.4} - \frac{x}{4}\right)\) and \(Y_2 = \sin 2\pi \left(\frac{t}{0.4} + \frac{x}{4}\right)\) superpose to form a standing wave (\(x\) and \(y\) in SI units). Find the amplitude of the particle at \(x = 0.5\) m.
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In standing waves, the coefficient of the time-dependent term (\(\sin \omega t\) or \(\cos \omega t\)) is the amplitude at that point. If the result is negative, take the absolute value as amplitude is always positive.