A particle P P\,P has velocity [(t3−6t+3)i+(23t3+3t2+5)j] ms−1\displaystyle [(t^3 - 6t + 3)\mathbf{i} + (\frac{2}{3}t^3 + 3t^2 + 5)\mathbf{j}] \text{ ms}^{-1}[(t3−6t+3)i+(32t3+3t2+5)j] ms−1 where t t\,t is the time in seconds.
Initially the particle is at the point with position vector (4i−7j)(4\mathbf{i} - 7\mathbf{j})(4i−7j). Find an expression for the displacement of P P\,P in terms of ttt
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.