The velocity of a particle moving in a straight line is \(v\) m s^-1 at time \(t\) seconds. The diagram shows a velocity-time graph which models the motion of the particle from \(t = 0\) to \(t = T\). The graph consists of four straight line segments. The particle reaches its maximum velocity \(V\) m s^-1 at \(t = 10\).

(i) Find the acceleration of the particle during the first 2 seconds.

(ii) Find the value of \(V\).

At \(t = 6\), the particle is instantaneously at rest at the point \(A\). At \(t = T\), the particle comes to rest at the point \(B\). At \(t = 0\) the particle starts from rest at a point one third of the way from \(A\) to \(B\).

(iii) Find the distance \(AB\) and hence find the value of \(T\).