AQA M1 2011 June — Question 3 9 marks

Exam BoardAQA
ModuleM1 (Mechanics 1)
Year2011
SessionJune
Marks9
PaperDownload PDF ↗
TopicConstant acceleration (SUVAT)
TypeAverage speed or total distance calculation
DifficultyEasy -1.2 This is a straightforward SUVAT question with all parameters clearly given and standard bookwork methods. Part (a) is trivial arithmetic (distance = speed × time), parts (b) and (d) use basic constant acceleration formulae with no algebraic manipulation challenges, and part (c) is a routine sketch. The multi-part structure adds length but not conceptual difficulty—each step follows mechanically from the previous one with no problem-solving insight required.
Spec3.02b Kinematic graphs: displacement-time and velocity-time3.02d Constant acceleration: SUVAT formulae

3 A pair of cameras records the time that it takes a car on a motorway to travel a distance of 2000 metres. A car passes the first camera whilst travelling at \(32 \mathrm {~ms} ^ { - 1 }\). The car continues at this speed for 12.5 seconds and then decelerates uniformly until it passes the second camera when its speed has decreased to \(18 \mathrm {~ms} ^ { - 1 }\).
  1. Calculate the distance travelled by the car in the first 12.5 seconds.
  2. Find the time for which the car is decelerating.
  3. Sketch a speed-time graph for the car on this 2000-metre stretch of motorway.
  4. Find the average speed of the car on this 2000-metre stretch of motorway.

3 A pair of cameras records the time that it takes a car on a motorway to travel a distance of 2000 metres. A car passes the first camera whilst travelling at $32 \mathrm {~ms} ^ { - 1 }$. The car continues at this speed for 12.5 seconds and then decelerates uniformly until it passes the second camera when its speed has decreased to $18 \mathrm {~ms} ^ { - 1 }$.
\begin{enumerate}[label=(\alph*)]
\item Calculate the distance travelled by the car in the first 12.5 seconds.
\item Find the time for which the car is decelerating.
\item Sketch a speed-time graph for the car on this 2000-metre stretch of motorway.
\item Find the average speed of the car on this 2000-metre stretch of motorway.
\end{enumerate}

\hfill \mbox{\textit{AQA M1 2011 Q3 [9]}}