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.
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.