Question

A body starts from rest moving with an acceleration a=2x ,where x is the displacement. Find the velocity of the body when x=3m.

Answer 1

Answer:

a=2x

vdv/dx=2x

vdv=2xdx

Intigrating both side

v^2/2=2x^2/2+c

v^2=2x^2+C

at x=0 v=0

C=0

v^2=2x^2

Put x=3

v=3root2 m/s