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 ,
\includegraphics[max width=\textwidth, alt={}, center]{977c24cc-8280-4881-8a62-65b7efd336ac-2_337_647_1128_1284}
- 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.
- Find the time taken by this cyclist to complete the journey.
- Show that the maximum speeds of both cyclists are the same.