Transverse wave through a medium

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SUMMARY

The discussion centers on the behavior of a transverse wave traveling from left to right in a medium, specifically analyzing the instantaneous velocity of the medium at point P. The consensus is that at point P, the medium's instantaneous velocity is directed upwards as it approaches the peak of the wave. This conclusion is drawn from the understanding that in a transverse wave, the medium oscillates perpendicular to the direction of wave propagation, confirming that the correct answer is C. upwards.

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  • Understanding of transverse waves and their properties
  • Knowledge of wave motion and medium behavior
  • Familiarity with concepts of instantaneous velocity in wave mechanics
  • Basic principles of oscillation and wave propagation
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Here's the question:

The transverse wave shown is traveling from left to right in a medium. The direction of the instantaneous velocity of the medium at point P is:

f17020.jpg


A. no direction since v = 0
B. to the right
C. upwards
D. at an angle upwards and to the right
E. downwards


Here's my (most likely wrong) reasoning. It's a transverse wave so the medium either moves up or down. I'd say at point P the medium is moving downwards because after point P the medium is below the axis? Can someone please explain what I'm not getting here? Thanks
 
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As the wave is moving to the right, then the peak you see in the wave which is to the left of P, is moving towards P. Very shortly, P will be at the top of that peak. (The point P cannot move to the left or right itself, only up or down)
 

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