When t = 0, the position of a particle is 6 m and its velocity is 2 m/s. From t = 0 to t = 6 s, the acceleration of the particle is 2 +2t^2 m/s^2. From t = 6 s until it comes to rest, it's acceleration is - 4 m/s^2. Find the total time of travel and Find the total distance that the particle moved?