Question

a particle starts from rest and move with constant acceleration its velocity displacement curve is

Answer 1

Answer:

option B is correct

Explanation:

We know that V^2 = U^2 + 2as

Since initially particle was at rest u=0

Hence equation becomes V^2 = 2 a s  Or V = √2 a s

now v^2 is directly proportional to s so the graph between them would not be of straight line it would be parabolic or curve in nature

if we differentiate v in terms of s

2vdv/ds=2a

now dv/ds=a/v

a/v=a/√2 a s

$\sqrt{a/2s$

dv/ds=$\sqrt{a/2s$

if s=0

then dv/ds= ∞(infinity)

so if we will draw tangent on slope in second graph it will be in upward direction which shows infinity

It's a parabola symmetric about 's' axis