The distance travelled by a body moving along a line in time t is proportional to t^3 . The acceleration-time (a, t) graph for the motion of the body will be

Step-by-step solution

Distance along a line i.e., displacement ( s ) =t^3 ( s t^3 . given ) By double differentiation of displacement, we get acceleration. V= d s d t = d t^3 d t =3 t^2 and aligned & a= d v d t = d 3 t^2 d t =6 t & a=6 t or a t aligned Hence graph (b) is correct.