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 (2i+5j) m(2\mathbf{i} + 5\mathbf{j}) \text{ m}(2i+5j) m. At time t=4t = 4t=4, P P\,P is at the point B B\,B with position vector (−10i+21j) m(-10\mathbf{i} + 21\mathbf{j}) \text{ m}(−10i+21j) m.
Find the velocity of PPP.
When t=6t = 6t=6 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.