A particle starts at the origin and moves along a straight line. Its velocity at time t t\,t seconds is v=t3−6t2+8t m s−1v=t^3-6t^2+8t\text{ m s}^{-1}v=t3−6t2+8t m s−1, where 0≤t≤40\leq t\leq40≤t≤4.
Find the non-zero time at which the particle returns to the origin.
Find the total distance travelled by this time.
61 exam-style questions on CCEA A Level Maths 4.1.1 Kinematics (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.