A particle moves along a straight line. Its acceleration at time t t\,t seconds is (3t+2) m s−2(3t+2)\text{ m s}^{-2}(3t+2) m s−2. Its initial velocity is -4 m s-1 and its initial displacement is zero.
Find the time T T\,T at which the particle first changes direction.
Find the total distance travelled in the interval 0≤t≤20\leq t\leq20≤t≤2, giving your answer in exact form.
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.