In a standing wave, all particles of the medium cross the mean position with
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(b)
In a standing waves all particles of same wave have same $v$ and hence vibrate in phase passing the mean point at same time. The amplitude of the waves is different at different points hence the speed is different.
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The path Difference between the two waves ${y_1} = {a_1}\,\sin \,\left( {\omega t - \frac{{2\pi x}}{\lambda }} \right)$ and ${y_2} = {a_2}\,\cos \,\left( {\omega t - \frac{{2\pi x}}{\lambda } + \phi } \right)$ is
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