A large cargo transport on the planet Tatooine starts from rest and accelerates for $13\mathrm{.}6$ s at a rate of $1\mathrm{.}40$ m$/$s$2.$ The transport then runs at a constant speed for $65\mathrm{.}0$ s and then begins slowing down at a rate of $-3\mathrm{.}40$ m$/$s$2$ until it stops.

a$.$ Sketch a position vs$.$ time graph for the motion of the transport.

b$.$ Sketch a velocity vs$.$ time graph for the motion of the transport.

c$.$ Find the total distance covered by the transport.