6. A particle moving in a straight line with speed \(5 U \mathrm {~m} \mathrm {~s} ^ { - 1 }\) undergoes a uniform deceleration for 6 seconds which reduces its speed to \(2 \mathrm { Um } \mathrm { s } ^ { - 1 }\). It maintains this speed for 16 seconds before uniformly decelerating to rest in a further 2 seconds.
- Sketch a speed-time graph displaying this information.
- Find an expression for each of the decelerations in terms of \(U\).
Given that the total distance travelled by the particle during this period of motion is 220 m ,
- find the value of \(U\).