A toy boat P P\,P moves across a pond with constant velocity. Initially P P\,P is at the point A A\,A with position vector (−2i+7j) m(-2\mathbf{i} + 7\mathbf{j}) \text{ m}(−2i+7j) m. At time t=2t = 2t=2 seconds, P P\,P is at the point B B\,B with position vector (8i−17j) m(8\mathbf{i} - 17\mathbf{j}) \text{ m}(8i−17j) m.
Find the velocity of PPP.
When t=3t = 3t=3 P P\,P is at the point CCC. Find the distance ACACAC.
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.