The velocity of a particle is (3t2+2) m s−1(3t^2+2)\text{ m s}^{-1}(3t2+2) m s−1 at time t t\,t seconds. When t=0t=0t=0, its displacement from a fixed origin is -4 m.
Find an expression for the displacement x x\,x metres.
Find the displacement when t=2t=2t=2.