A particle moves along a straight line. At time t t\,t seconds its velocity is v=t2−4t+3 m s−1v=t^2-4t+3\text{ m s}^{-1}v=t2−4t+3 m s−1, where 0≤t≤40\leq t\leq 40≤t≤4. The particle starts at the origin.
Find the total distance travelled in the first 4 seconds.