OCR MEI M1 — Question 1

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

1 Fig. 4 illustrates a straight horizontal road. \(A\) and \(B\) are points on the road which are 215 metres apart and \(M\) is the mid-point of AB . When a car passes A its speed is \(12 \mathrm {~ms} ^ { - 1 }\) in the direction AB . It then accelerates uniformly and when it reaches \(B\) its speed is \(31 \mathrm {~ms} ^ { - 1 }\). \begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{b9e41fac-9f4b-4165-af03-67ebdcb326de-1_140_1160_455_488} \captionsetup{labelformat=empty} \caption{Fig. 4}
\end{figure}
  1. Find the car's acceleration.
  2. Find how long it takes the car to travel from A to B .
  3. Find how long it takes the car to travel from A to M .
  4. Explain briefly, in terms of the speed of the car, why the time taken to travel from A to M is more than half the time taken to travel from A to B .