Consider the snapshot of a wave traveling in positive $x$ -direction
Medium
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$\mathrm{V}_{\text {Particle }}=-(\text { slope })\left(\mathrm{v}_{\text {wave }}\right)$
At $A:$ slope $\rightarrow$ $+ve$ so $v_{p}$ is $-ve.$
$O R$
At $\mathrm{B}:$ slope $\rightarrow$ $-ve$ so $\mathrm{v}_{\mathrm{P}}$ is $+ ve.$
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