A particle P P\,P has acceleration [(7t−3)i+(4t−5)j] ms−2[(7t - 3)\mathbf{i} + (4t - 5)\mathbf{j}] \text{ ms}^{-2}[(7t−3)i+(4t−5)j] ms−2 where t t\,t is the time in seconds. Initially P P\,P has velocity (−8i+6j) ms−1(-8\mathbf{i} + 6\mathbf{j}) \text{ ms}^{-1}(−8i+6j) ms−1
Find an expression for the velocity of P P\,P in terms of ttt
Find the velocities at the two times P P\,P is moving parallel to the vector (2i+j)(2\mathbf{i} + \mathbf{j})(2i+j)
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.