The unit vectors i\mathbf{i}i and j\mathbf{j}j are due east and due north respectively.
At time t t\,t seconds a particle has position vector r=[(3t2−4)i+(2t2+12t)j]\mathbf{r} = \left[(3t^2 - 4)\mathbf{i} + (2t^2 + 12t)\mathbf{j}\right]r=[(3t2−4)i+(2t2+12t)j] m.
Find the time at which the particle is travelling on a bearing of 045°045°045°.
Find the magnitude of the acceleration of the particle.
163 exam-style questions on WJEC A Level Maths 4.8 Kinematics (A-level only), covering 4.8.1 Kinematics (A-level only), 4.8.2 Kinematics (A-level only), and 4.8.3 Kinematics (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.