In this question you must show detailed reasoning.
A particle leaves O O\,O at time t=0t=0t=0 with velocity v=(t2−6t+5) m s−1v=(t^2-6t+5)\text{ m s}^{-1}v=(t2−6t+5) m s−1, where t≥0t\geq0t≥0.
Find the times during the first 6 seconds at which the particle changes direction.
Find the displacement of the particle during the first 6 seconds.
Determine the total distance travelled during the first 6 seconds.
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.