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.
260 exam-style questions on OCR A Level Maths 3.2 Kinematics, covering 3.2.1 Language of kinematics, 3.2.2 Graphs in kinematics, 3.2.3 Displacement-time and velocity-time graphs, 3.2.4 Constant acceleration formulae, 3.2.5 Constant acceleration in two dimensions (A-level only), 3.2.6 Non-uniform acceleration in one dimension (A-level only), 3.2.7 Non-uniform acceleration in two dimensions (A-level only), 3.2.8 Motion under gravity using vectors (A-level only), and 3.2.9 Projectiles (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.