The velocity of a test vehicle on a straight track is modelled by v=(t2−7t+10) m s−1v=(t^2-7t+10)\text{ m s}^{-1}v=(t2−7t+10) m s−1 for 0≤t≤80\leq t\leq80≤t≤8.
Find the times when the particle changes direction.
Find the total distance travelled in the first 8 s.