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If acceleration(a)=Displacement(x)

and at time(t)=0 if Velocity(u) is 0

then we have to find velocity at time=2 secs

Attempt At Answer

given: a=x

or v dv = x dx

integrating both sides with initial velocity 0 and displ. s

v2=x2-s2

or

v=√(x2-s2)

or

dx/√(x2-s2)=dt

integrating again

we get

(x/s)=cos t

but the problem is how do we get value of initial displ. s??

if we ignore s

we get

x=e^t

but the graph of this gives x=1 at t=o so we cant ignore "s"

Plz help..