A particle P moves in a straight line from a fixed point O. The velocity v m s^-1 of P at time t s is given by

\(v = t^2 - 8t + 12\) for \(0 \leq t \leq 8\).

1. Find the minimum velocity of P.
2. Find the total distance travelled by P in the interval \(0 \leq t \leq 8\).