A train starts feom rest and accelerates uniformly, until it has travled $2\mathrm{.}1$ and acquired a velocity of $34$m$/$s$.$ The trqin then moves at a constant velocity of $34$m$/$s for $430$s$.$ The train then slows down uniformly at $0\mathrm{.}065$m$/$s$^2,$ until it is brought to a hault. What is the total distance travled by the train? How long was the train traveling $($total time$)?$