The position of a warehouse robot on a straight aisle is modelled as follows. At time t t\,t seconds its displacement from O O\,O is s=(2t3−18t2+48t) ms=(2t^3-18t^2+48t)\text{ m}s=(2t3−18t2+48t) m.
Find the times in the interval 0≤t≤5 0\leq t\leq5\,0≤t≤5 when the particle is instantaneously at rest.
Find the total distance travelled in the first 5 s.