The acceleration (a) of a particle moving in a straight line varies with its displacement (s) as `a=2s`. The velocity of the particle is zero at zero displacement. Find the corresponding velocity-displacement equation.

Explanation

`a=2s rArr (dv)/(dt)=2s rArr(dv)/(ds),(ds)/(dt)=2srArr(dv)/(dt)=2s rArr intvds=2intsds`
`rArr((V^(2))/(2))_(0)^(v)=2((s^(2))/(2))_(0)^(s)rArr(v^(2))/(2)=s^(2)rArrv=ssqrt(2)`