After t t\,t seconds, a particle has position vector r=[(5t2−3)i+(3t2+16t)j] m\mathbf{r} = [(5t^2 - 3)\mathbf{i} + (3t^2 + 16t)\mathbf{j}] \text{ m}r=[(5t2−3)i+(3t2+16t)j] m
Find the time at which the particle is travelling on a bearing of 045∘045^\circ045∘
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.