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.
265 exam-style questions on AQA A Level Maths 3.2 Q: Kinematics, covering 3.2.1 Language of kinematics, 3.2.2 Graphs in kinematics, 3.2.3 Constant acceleration formulae, 3.2.4 Calculus in kinematics (A-level only), and 3.2.5 Motion under gravity and projectiles (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.