[i]A particle moves along a straight line and passes through a fixed point [/i][math]O[/math][i] . Its velocity, [br][/i][math]v[/math][math]ms^{-1}[/math][i] , at a time [/i][math]t[/math][i] instant after passing [/i][math]O[/math][i] is given by [/i][math]v=t^2-6t+8[/math][i] . The particle stops at points P and R[br][br][Assume motion to the right as positive.][br][/i][br][i](a) Find the minimum velocity, in [/i][math]ms^{-1}[/math][i] , of the particle.[/i][br]

(b) Calculate the distance, in m, between point P and point R.

(c) Sketch the velocity-time graph for . Next, determine the range of values [math]t[/math] ​​when the velocity of the particle increases.