At time t=0t=0t=0, particle P P\,P starts from rest at a point O O\,O and moves along a straight line with constant acceleration 2 m s-2. At the same instant particle Q Q\,Q is 20 m from O O\,O and moves towards O O\,O at constant speed 4 m s-1.
Write down expressions for the displacements of P P\,P and Q Q\,Q from O O\,O at time t t\,t seconds, before they meet.
Determine the time at which the particles meet.
Find the distance from O O\,O at which they meet.