The equation of a wave is y=5 ((t)/(0.04)-(x)/(4)) ; where, x is in...

Equation of wave $y=5 \sin \left(\frac{t}{0.04}-\frac{x}{4}\right)$ The standard equation of a wave in the given form is $y=a \sin \left(\omega t-\frac{2 \pi x}{\lambda}\right)$ Comparing the given equation with the standard equation, we get $a=5 \text{ and } \omega=\frac{1}{0.04}=25$ Therefore, maximum velocity of particles of the medium, $v_{\max }=a \omega=5 \times 25=125 \mathrm{cms}^{-1}=1.25 \mathrm{~ms}^{-1}$