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- Homework Statement
- What would be the direction of velocity for particles close to ## x_1## and on either side of it as shown in the sound wave diagram below? The hollow dots show equilibrium positions of displaced particles. Solid dots are the displaced particles. The arrow shown against solid dots indicates the displacement direction from equilibrium position.

(The sound wave diagram is taken from University Physics by Sears and Zemansky)

- Relevant Equations
- ## y(x,t) = A \cos {(kx - wt)}##

## v_p (x) = \frac {\partial y} {\partial t}##

Using the equations mentioned under this question, I came up with following analysis and directions of velocities on either side of ##x_1##. Also, I'm not sure if there is an easier qualitative way to know the velocity directions rather than do a detailed Calculus based analysis?