A body starts from rest and accelerates to 2metres per second square for 6 seconds. it maintains this velocity for 10 seconds and decelerates to rest in 4 seconds
(I) sketch a velocity time graph for the motion
(ii) calculate distance the body covers
v = at
s = 1/2 at^2 + vt + (vt - 1/2 at^2)
= (1/2 * 2 * 6^2) + (12*10) + (12*4 - 1/2 * 3 * 4^2) = 180 m