A remote-controlled car 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 (3i+4j) m(3\mathbf{i} + 4\mathbf{j}) \text{ m}(3i+4j) m. At time t=2t = 2t=2 seconds, P P\,P is at the point B B\,B with position vector (19i−8j) m(19\mathbf{i} - 8\mathbf{j}) \text{ m}(19i−8j) m.
Find the velocity of PPP.
When t=4.5t = 4.5t=4.5 P P\,P is at the point CCC. Find the distance ACACAC.
Practise Edexcel A Level Maths Further Kinematics with exam-style questions for A Level Maths. 54 questions covering Vectors in Kinematics, Vector Methods with Projectiles, Variable Acceleration in One Dimension, Differentiating Vectors, and Integrating Vectors, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.