Edexcel M1 2005 January — Question 3

Exam BoardEdexcel
ModuleM1 (Mechanics 1)
Year2005
SessionJanuary
TopicSUVAT & Travel Graphs

3. \begin{figure}[h]
\captionsetup{labelformat=empty} \caption{Figure 2} \includegraphics[alt={},max width=\textwidth]{975a5462-0ba3-448a-8a5a-fc90da640d57-04_851_1073_312_456}
\end{figure} A sprinter runs a race of 200 m . Her total time for running the race is 25 s . Figure 2 is a sketch of the speed-time graph for the motion of the sprinter. She starts from rest and accelerates uniformly to a speed of \(9 \mathrm {~m} \mathrm {~s} ^ { - 1 }\) in 4 s . The speed of \(9 \mathrm {~m} \mathrm {~s} ^ { - 1 }\) is maintained for 16 s and she then decelerates uniformly to a speed of \(u \mathrm {~m} \mathrm {~s} ^ { - 1 }\) at the end of the race. Calculate
  1. the distance covered by the sprinter in the first 20 s of the race,
  2. the value of \(u\),
  3. the deceleration of the sprinter in the last 5 s of the race.