At time t=0t=0t=0, particle A leaves a point O O\,O with velocity 2 m s−1^{-1}−1 and constant acceleration 1 m s−2^{-2}−2. At the same instant, particle B is 40 m from OOO, moving towards O O\,O with velocity -6 m s−1^{-1}−1 and constant acceleration 0.5 m s−2^{-2}−2. Positive displacement is measured from O O\,O towards the initial position of B.
Find the time at which the particles meet.
Find the velocity of each particle when they meet.