A particle moving in a straight line with speed 5U m s−15U\text{ m s}^{-1}5U m s−1 decelerates uniformly for 6 seconds, reducing its speed to 2U m s−12U\text{ m s}^{-1}2U m s−1. It maintains this speed for 16 seconds and then decelerates uniformly to rest in a further 2 seconds.
Sketch a velocity-time graph for the motion.
Find each deceleration in terms of UUU.
Given that the total distance travelled is 220 m, determine the value of UUU.