A body starts from rest moving with an acceleration a=2x ,where x is t

1.	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» 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

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»

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

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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.

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