After t t\,t seconds, a particle P P\,P has position vector r=[(3t3−t+3)i+(2t2+2t−1)j] m\mathbf{r} = [(3t^3 - t + 3)\mathbf{i} + (2t^2 + 2t - 1)\mathbf{j}] \text{ m}r=[(3t3−t+3)i+(2t2+2t−1)j] m
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.