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−3j) m(4\mathbf{i} - 3\mathbf{j}) \text{ m}(4i−3j) m. At time t=3t = 3t=3, P P\,P is at the point B B\,B with position vector (−5i+9j) m(-5\mathbf{i} + 9\mathbf{j}) \text{ m}(−5i+9j) m.
Find the velocity of PPP.
When t=5t = 5t=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.