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)impliesint_(0)^(S)(dS)/(sqrt(S))=int_(0)^(t)Kdt`
`implies2sqrt(S)=Kt and S=(1)/(4)K^(2)t^(2)`
`impliesV=(dS)/(dt)=(1)/(4)K^(2)2t=(1)/(2)K^(2)t`
`impliesVpropt`
`:. Vpropt`
`:.` The V-t graph is a straight line passing through the origin.