A particle P P\,P has displacement [(14t4−2t2−5t+2)i+(16t4+23t3−16t−5)j] m\displaystyle [(\frac{1}{4}t^4 - 2t^2 - 5t + 2)\mathbf{i} + (\frac{1}{6}t^4 + \frac{2}{3}t^3 - 16t - 5)\mathbf{j}] \text{ m}[(41t4−2t2−5t+2)i+(61t4+32t3−16t−5)j] m where t t\,t is the time in seconds.
Find an expression for the velocity of P P\,P in terms of ttt
Find an expression for the acceleration 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.