OCR MEI M1 — Question 1

Exam BoardOCR MEI
ModuleM1 (Mechanics 1)
TopicSUVAT & Travel Graphs

1 A ring is moving up and down a vertical pole. The displacement, \(s \mathrm {~m}\), of the ring above a mark on the pole is modelled by the displacement-time graph shown in Fig. 1. The three sections of the graph are straight lines. \begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{bdbebc7f-0cb1-4203-8058-7614ba291508-1_763_1057_439_580} \captionsetup{labelformat=empty} \caption{Fig. 1}
\end{figure}
  1. Calculate the velocity of the ring in the interval \(0 < t < 2\) and in the interval \(2 < t < 3.5\).
  2. Sketch a velocity-time graph for the motion of the ring during the 4 seconds.
  3. State the direction of motion of the ring when
    (A) \(t = 1\),
    (B) \(t = 2.75\),
    (C) \(t = 3.25\).