Question

The acceleration of a particle moving in a straight line varies with displacement as a=2s, velocity of the particles is zero displacement. Find the corresponding velocity displacement equation.​

Answer 1

Answer:

Correct option is

B

υ=±

2

s

If s be the displacement , v be the velocity and a be the acceleration then we will have following relation, a=v

ds

dv

putting a=2s and integrating we get ∫

s=0

s

2sds=∫

v=0

v

vdv

note-

It was given that velocity(v) was zero at zero displacement (s)

so we used v=0 at s=0 in the integration equation above.

after integration we get s

2

=

2

v

2

or v=±

2

s