[i]A particle moves along a straight line passing through a fixed point [/i][math]O[/math][i] . The velocity,[br] [/i][math]v[/math][math]ms^{-1}[/math][i] , of the particle at a time [/i][math]t[/math][i] instant after passing [/i][math]O[/math][i] is given by [/i][math]v=t^2-8t[/math][i].[/i][br][br][i](a) Show that the maximum velocity, in [/i][math]ms^{-1}[/math][i] , of the particle is non-zero.[/i][br]

[i](b) Find the displacement, to the nearest meter, that the particle travels from a fixed point [/i][math]O[/math][i] when [/i][math]t=4[/math][i] .[/i]