After t t\,t seconds, a particle P P\,P has position vector r=[(4t3−2t+5)i+(3t2+4t−2)j] m\mathbf{r} = [(4t^3 - 2t + 5)\mathbf{i} + (3t^2 + 4t - 2)\mathbf{j}] \text{ m}r=[(4t3−2t+5)i+(3t2+4t−2)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.