An object starts from rest and its velocity–time data are as follows: it accelerates uniformly to 9m/s in the first 3s, then slows down uniformly to 3m/s in the next 3s, and finally moves with this constant velocity for another 2s. Calculate the total displacement during the 8s of motion.
(a) 31.5m
(b) 42m
(c) 37.5m
(d) 46.5m