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(A) The general equation of a traveling wave is $y = a \sin(\omega t \pm kx + \phi)$.For the first wave,$y_1 = a \sin(\omega t - kx)$,the negative sig

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They are moving in opposite directions

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(A) The general equation of a traveling wave is $y = a \sin(\omega t \pm kx + \phi)$.For the first wave,$y_1 = a \sin(\omega t - kx)$,the negative sign before $kx$ indicates that the wave is traveling in the positive $x$-direction.For the second wave,$y_2 = a \sin(\omega t + kx)$,the positive sign before $kx$ indicates that the wave is traveling in the negative $x$-direction.Since the waves are traveling in opposite directions,option $A$ is correct.

Wave equations of two particles are given by $y_1 = a \sin(\omega t - kx)$ and $y_2 = a \sin(kx + \omega t)$. Then:

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