A particle moving in a straight line has speed 5U 5U\,5U m s−1^{-1}−1. It decelerates uniformly for 6 s to a speed of 2U 2U\,2U m s−1^{-1}−1, maintains this speed for 16 s, and then decelerates uniformly to rest in a further 2 s.
Sketch a velocity-time graph for the motion.
Find expressions for the magnitudes of the two decelerations in terms of UUU.
Given that the total distance travelled is 220 m, find UUU.