The displacement S metres of a particle from a fixed point O at time t seconds is given by \(S = t^{2} - 6t + 5\). (a) On a graph sheet, draw a displacement...

The displacement S metres of a particle from a fixed point O at time t seconds is given by \(S = t^{2} - 6t + 5\).

(a) On a graph sheet, draw a displacement- time graph for the interval \(0 \leq x \leq 6\).

(b) From the graph, find the : (i) time at which the velocity is zero ; (ii) average velocity over the interval \(0 \leq x \leq 4\) ; (iii) total distance covered in the interval \(0 \leq x \leq 5\).