A particle has velocity v=(12−2t2) m s−1v=(12-2t^2)\text{ m s}^{-1}v=(12−2t2) m s−1 at time t t\,t seconds, where t≥0t\geq0t≥0. At t=0t=0t=0 the particle is at OOO.
Find the distance travelled in the first second.
Find the time at which the particle changes direction.
Find the next time at which the particle returns to OOO.
46 exam-style questions on OCR A Level Maths 3.2.6 Non-uniform acceleration in one dimension (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.