Edexcel M1 — Question 6

Exam BoardEdexcel
ModuleM1 (Mechanics 1)
TopicSUVAT & Travel Graphs

6. The diagram shows the velocity-time graph for a cyclist's journey. Each section has constant acceleration or deceleration and the three sections are of equal duration \(x\) seconds each.
Given that the total distance travelled is 792 m ,
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  1. find the value of \(x\) and the acceleration for the first section of the journey. Another cyclist covers the same journey in three sections of equal duration, accelerating at \(\frac { 1 } { 11 } \mathrm {~ms} ^ { - 2 }\) for the first section, travelling at constant speed for the second section and decelerating at \(\frac { 1 } { 11 } \mathrm {~ms} ^ { - 2 }\) for the third section.
  2. Find the time taken by this cyclist to complete the journey.
  3. Show that the maximum speeds of both cyclists are the same.