A particle moves along the x-axis with the following velocity schedule:
(i) 0 ≤ t < 2 s: velocity increases uniformly from 0 to +4 m/s;
(ii) 2 s ≤ t < 4 s: velocity decreases uniformly to –2 m/s;
(iii) 4 s ≤ t < 6 s: velocity remains constant at –2 m/s;
(iv) 6 s ≤ t ≤ 8 s: velocity increases uniformly to +2 m/s.
Taking the origin at the starting point and the +x direction as positive, what is the particle’s displacement during the entire 8-s interval?
a) +6\,\text{m}
b) +2\,\text{m}
c) 0\,\text{m}
d) -4\,\text{m}