A particle starts from origin with a velocity (in m / s ) given by the equation d x d t =x+1 . The time (in second) taken by the particle to traverse a distance of 24 m is

Step-by-step solution

aligned & d x d t =x+1 & d x x+1 =d t aligned Integrating both sides, we get (x+1)=t+c . At t=0, x=0 (origin point) Then, (0+1)=0+c c=0 aligned & (x+1)=t & when x=24, t= (24+1)= (25)=2 (5) aligned