Question

state position time graph for a particle at rest​

Answer 1

hlo mate

Hey dear,

◆ Position-time graph -

It represents the change in position of the particle w.r.t. time.

Velocity of the particle is is calculated by slope of the position-time graph.

(I) For a particle at rest -

Position-time graph of particle at rest is a straight line parallel to x-axis.

Slope of this graph is zero, thus velocity = zero.

(II) For a particle moving with constant velocity -

Position-time graph of particle moving with constant velocity is an ascending straight line.

Slope of this graph is fixed, thus velocity = constant.

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Answer 2

Concept:

The slope of Distance-Time Graph is the velocity  and the equation of straight line $y=mx+c$

Given:

The particle is at rest.

Find:

The position-time graph

Solution

Since the position remains the same, the velocity must be zero i.e m=0

Equation:$y=c$

Plot: