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# he equation of wave is $y = 5\sin (\dfrac{t}{{0.04}} - \dfrac{x}{4})$ where $y$ is in centimetre, $x$ is in centimetre and $t$ is in seconds. The maximum velocity of the particles of the medium is ? Verified
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Hint: In order to solve this question, you must be aware about the concept of sinusoidal wave. All of the characteristics of the wave are contained in its wave function. A sine wave is a geometric waveform that oscillates (moves up, down or side-to-side) periodically. In other words, it is an s-shaped, smooth wave that oscillates above and below zero.

Equation of wave $y = 5\sin (\dfrac{t}{{0.04}} - \dfrac{x}{4})$
$y = a\sin (\omega t - \dfrac{{2\pi x}}{\lambda })$
$a = 5$ and $\omega = \dfrac{1}{{0.04}} = 25$ and $\lambda = 8\pi$
${v_{\max }} = a\omega \\ \Rightarrow {v_{\max }}= 5 \times 25$
$\therefore {v_{\max }} = 1.25\dfrac{m}{s}$