A particle P P\,P has velocity [(3t2−20t+35)i+(t2−6t+10)j] ms−1[(3t^2 - 20t + 35)\mathbf{i} + (t^2 - 6t + 10)\mathbf{j}] \text{ ms}^{-1}[(3t2−20t+35)i+(t2−6t+10)j] ms−1 where t t\,t is the time in seconds.
Find an expression for the acceleration 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.