At time t t\,t seconds a particle P P\,P has velocity v\mathbf{v}v m s−1^{-1}−1, where v=3t12i−2tj\displaystyle \mathbf{v} = 3t^{\frac{1}{2}}\mathbf{i} - 2t\mathbf{j}v=3t21i−2tj.
When t=1t = 1t=1, P P\,P is at the point AAA. When t=4t = 4t=4, P P\,P is at the point BBB.
Find the exact distance ABABAB.
265 exam-style questions on AQA A Level Maths 3.2 Q: Kinematics, covering 3.2.1 Language of kinematics, 3.2.2 Graphs in kinematics, 3.2.3 Constant acceleration formulae, 3.2.4 Calculus in kinematics (A-level only), and 3.2.5 Motion under gravity and projectiles (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.