Differentiate between transverse and longitudinal waves. Give one example for each.

transverse waves are always characterized by particle motion being perpendicular to wave motion. a longitutal wave is a wave in chich particles of the medium move pin a direction parallel to the direction that the wave moves

In contrast, the displacement of particles in the transverse wave is perpendicular to the direction the wave is travelling.

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Difference between Longitudinal and Transverse Wave.

ParameterLongitudinal waveTransverse wave

ExampleAn example of a longitudinal wave is the earthquake P waveAn example of a transverse wave is the earthquake S wave

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russian is not my first language, so i'm afraid i can't write out an answer in russian, but hopefully you can find a way to do so. here's my best translation of the problem: you're given a plot of a particle's position in one-dimensional space over time, and you're asked to find either the total distance traveled by the particle after 6 seconds had elapsed, or the total displacement of the particle after 6 seconds.

if you want the total distance traveled, you would first need to determine the particle's velocity as a function of time, then integrate that over the 6-second interval. we know the position function is quadratic with roots at 0 and 6, so we have

where is unknown. because the position is parabolic, there is symmetry about the midpoint at , and we know that

so that the position function is

which means the velocity is

then the total distance traveled is

so the total distance traveled is 20 m.

on the other hand, if you want to find displacement: the particle starts at and ends at , so its displacement is 0.