The velocity-time graph of a particle consists of straight-line segments joining the points (0,4)(0,4)(0,4), (3,10)(3,10)(3,10), (7,10)(7,10)(7,10) and (12,−5)(12,-5)(12,−5), where time is measured in seconds and velocity in m s−1\text{m s}^{-1}m s−1.
Find the acceleration of the particle during the final 5 s.
Find the displacement of the particle in the first 12 s.
Find the total distance travelled in the first 12 s.