A particle starts from rest at a fixed point O and moves along a straight line with velocity v [math]ms^{-1}[/math]. It is given that [math]v=pt^2-qt[/math], where t is the time in seconds after the motion begins, and p and q are constants. The particle is momentarily at rest when t=1 second, and its displacement at that time is 2 meters to the left of point O.[br][Assume motion to the right is positive]