At time t t\,t seconds, where t≥0t \ge 0t≥0, a particle P P\,P has position vector r=[(t2−4t)i+3tj]\mathbf{r} = \left[(t^2 - 4t)\mathbf{i} + 3t\mathbf{j}\right]r=[(t2−4t)i+3tj] m.
Find the values of t t\,t at which the speed of P P\,P is 5 m s−1^{-1}−1.
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.