The velocity of a particle moving in the positive direction of the X-axis varies as v=`Ksqrt(S)`
Where K is a positive constant.Draw V-t graph .

Explanation

`V=Ksqrt(S)`
`(dS)/(dt)=Ksqrt(S) therefore underset(0)overset(s)int(dS)/(sqrt(S))=underset(0)overset(t)intKdt`
`therefore 2 sqrt(S)`=Kt and `S=(1)/(4)K^(2)t^(2)`
`impliesV=(dS)/(dt)=(1)/(4)K^(2)2t=(1)/(2)K^(2)t`
`therefore` V-t graph is a straight line passing through the origin