The displacement (x) of a particle depends on time t as x=αt2-βt3. Choose the incorrect statements from the following.

x=0 at t=0 and t=α/β. So, the particle returns to starting point at t=α/β.v=dxdt=2αt-3βt2At t=0, v=0 i.e. initial velocity of particle is zero.$$ν=0 at t=0 and t=2α3βThus, the particle comes to rest after time,t=2α/3βa=dvdt=2α-6βtAt t=0,=2α≠0