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GIVE THE GRAPHICAL REPRESENTATION OF i)DISPLACEMENT ii) VELOCITY iii) ACCELERATION OF A PARTICLE EXUCUTING SHM. MENTION THE DIFFERENCES BETWEEN THEM
i)displacementdistance-density graph for longitudinal waves

ii)velocity

The rate of change of position of a particle in a particular direction gives the velocity of the particle. It may also be defined as the time rate of change of displacement of a particle. Velocity is a vector quantity.

A motion is said to be uniform if the particle covers equal distances in equal intervals of time, however small these intervals may be.

position-time graph of uniform motion

The position-time graph of an object in uniform motion in one dimension is a straight line AB. The slope gives the rate of change of position w.r.t time i.e., velocity.

Mathematically,

Consider a right angled triangle CDE, the y-intercept and x-intercept are (x2 - x1) and (t2 - t1) respectively.


position-time graph
When a particle has uniform motion, neither the magnitude nor the direction of velocity changes. So velocity is constant in uniform motion. When a particle moves with constant velocity, the average velocity of the particle between any two points along its path is the same and this is equal to the instantaneous velocity of the particle

iii) acceleration


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