[In this question the unit vectors i\mathbf{i}i and j\mathbf{j}j are due east and due north respectively.]
At time t=0t = 0t=0, a particle P P\,P is at position (−3i+2j)m(-3\mathbf{i} + 2\mathbf{j})\text{m}(−3i+2j)m relative to a fixed origin, OOO.
The particle moves with constant velocity and passes through the point A A\,A with position (12i−16j)m(12\mathbf{i} - 16\mathbf{j})\text{m}(12i−16j)m at time t=3st = 3\text{s}t=3s.
Find the velocity of PPP.
Find the speed of PPP.
284 exam-style questions on Edexcel A Level Maths Vectors, covering 11.1 Vectors, 11.2 Representing Vectors, 11.3 Magnitude and Direction, 11.4 Position Vectors, 11.5 Solving Geometric Problems, and 11.6 Modelling with Vectors. Each one has a worked solution and a mark scheme showing where the marks go.