Transverse and longitudinal waves are two categories of waves that differ from one another in terms of how the particles of the medium vibrate. In a transverse wave, particles of the medium vibrate perpendicular to the medium. In a longitudinal wave, particles of the medium vibrate parallel to the medium. These different particle vibrations result in different-looking wave patterns. This is discussed in detail in the How to Think About This Situation section below.
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Wave Basics - help7
There are three similar versions of this question. Here is one of those versions:
Version 1:
The diagram represents a snapshot in time of a wave traveling through a Slinky. Four locations along the Slinky are labeled with a letter. Indicate the direction of vibration of the Slinky coils at these locations.
Try this link to The Physics Classroom Tutorial for more help with identifying the direction of particle motion for transverse and longitudinal waves:
Categories of Waves