The position vector of a particle at time t t\,t seconds is r=(t2+1)i+(t3−3t)j\mathbf r=(t^2+1)\mathbf i+(t^3-3t)\mathbf jr=(t2+1)i+(t3−3t)j metres.
Find, in vector form, the velocity and acceleration when t=1t=1t=1.
204 exam-style questions on CCEA A Level Maths 4.1 Kinematics (A-level only), covering 4.1.1 Kinematics (A-level only), 4.1.2 Kinematics (A-level only), and 4.1.3 Kinematics (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.