The $2$:$00$ pm train leaves station A on time and travels on a long straight track to station B

which is a distance $13\mathrm{.}6$ km away. It accelerates at $0\mathrm{.}080$ m s$2$ for $240$ s$.$ Then it travels

for a period of time at constant velocity. Finally, it decelerates at $0\mathrm{.}055$ m s$2$ until it

comes to a stop in station B$.$

$($i$)$ Calculate the position and velocity of the train at the end of the acceleration phase.

$[4$ marks$]$

$($ii$)$ Determine at what time the train reaches station B$.$