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.

The velocity of a particle moving in the positive direction of the X-a

1.	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.
Answer» Solution :`V=Ksqrt(s)` `(DS)/(dt)=Ksqrt(S) therefore underset(0)overset(S)int(dS)/(SQRT(S))=underset(0)overset(t)intKdt` `therefore 2sqrt(S)=Kt and S=(1)/(4)K^(2)t^(2)` `impliesV=(dS)/(dt)=(1)/(4)K^(2)2t=(1)/(2)K^(2)t` `therefore Vpropt` `therefore` The `V-t` GRAPH is a straight line passing through the origin