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