The velocity of a particle moving in the position direction of the X-axis varies as v=K sqrtS where K is a positive constant. Draw V-t graph.

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

1.	The velocity of a particle moving in the position direction of the X-axis varies as v=K sqrtS where K is a positive constant. Draw V-t graph.
Answer» Solution :`V=K sqrts` `(d S)/(dt)=K sqrtS""therefore underset(0)overset(s)int (d S)/sqrtS =underset(0)overset(t)int K dt` `2sqrtS=Kt and S=1/4 K^(2) t^(2)` `RARR V=(d S)/(dt)=1/4 K^(2)2t+1/2 K^(2)t` `therefore V ALPHA t` The V-t GRAPH is a straight LINE passing through the origin.