After t t\,t seconds, a particle P P\,P has position vector r=[(t2+5t−2)i+(t3+2t2)j] m\mathbf{r} = [(t^2 + 5t - 2)\mathbf{i} + (t^3 + 2t^2)\mathbf{j}] \text{ m}r=[(t2+5t−2)i+(t3+2t2)j] m
Given that the displacement of P P\,P is 12i+16j m12\mathbf{i} + 16\mathbf{j} \text{ m}12i+16j m, find the value of ttt
Given that the velocity of P P\,P is 11i+39j ms−111\mathbf{i} + 39\mathbf{j} \text{ ms}^{-1}11i+39j ms−1, find the value 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.