A particle P P\,P moves in a straight line with constant velocity. Initially P P\,P is at the point A A\,A with position vector (−4i+7j) m(-4\mathbf{i} + 7\mathbf{j}) \text{ m}(−4i+7j) m. At time t=2t = 2t=2, P P\,P is at the point B B\,B with position vector (6i+31j) m(6\mathbf{i} + 31\mathbf{j}) \text{ m}(6i+31j) m.
Find the velocity of PPP.
When t=5t = 5t=5 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.