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.
363 exam-style questions on Edexcel A Level Maths Further Kinematics, covering 8.1 Vectors in Kinematics, 8.2 Vector Methods with Projectiles, 8.3 Variable Acceleration in One Dimension, 8.4 Differentiating Vectors, and 8.5 Integrating Vectors. Each one has a worked solution and a mark scheme showing where the marks go.