The position time graph for a particle travelling along x axis has been shown in the figure. State whether following statements are true of false.
(a) Particle starts from rest at `t = 0`.
(b) Particle is retarding in the interval 0 to `t_(1)` and accelerating in the interval `t_(1)` to `t_(2)`.
(c) The direction of acceleration has changed once during the interval 0 to `t_(3 )`