A drone P P\,P flies in a straight line with constant velocity. Initially P P\,P is at the point A A\,A with position vector (i+j) m(\mathbf{i} + \mathbf{j}) \text{ m}(i+j) m. At time t=3t = 3t=3 seconds, P P\,P is at the point B B\,B with position vector (13i+10j) m(13\mathbf{i} + 10\mathbf{j}) \text{ m}(13i+10j) 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.