OCR H240/03 2021 November — Question 9 3 marks

Exam BoardOCR
ModuleH240/03 (Pure Mathematics and Mechanics)
Year2021
SessionNovember
Marks3
PaperDownload PDF ↗
TopicConstant acceleration (SUVAT)
TypeFind acceleration from distances/times
DifficultyModerate -0.8 This is a straightforward constant acceleration kinematics problem requiring direct application of standard SUVAT equations. Part (a) uses v=u+at with given values, and part (b) uses v²=u²+2as. Both parts involve routine substitution with no problem-solving insight required, making it easier than average but not trivial since it requires correct equation selection and careful arithmetic.
Spec3.02d Constant acceleration: SUVAT formulae

There are three checkpoints, \(A\), \(B\) and \(C\), in that order, on a straight horizontal road. A car travels along the road, in the direction from \(A\) to \(C\), with constant acceleration. The car takes 20 s to travel from \(B\) to \(C\). The speed of the car at \(B\) is 14 m s\(^{-1}\) and the speed of the car at \(C\) is 18 m s\(^{-1}\).
  1. Find the acceleration of the car. [1]
It is given that the distance between \(A\) and \(B\) is 330 m.
  1. Determine the speed of the car at \(A\). [2]

There are three checkpoints, $A$, $B$ and $C$, in that order, on a straight horizontal road. A car travels along the road, in the direction from $A$ to $C$, with constant acceleration. The car takes 20 s to travel from $B$ to $C$. The speed of the car at $B$ is 14 m s$^{-1}$ and the speed of the car at $C$ is 18 m s$^{-1}$.

\begin{enumerate}[label=(\alph*)]
\item Find the acceleration of the car. [1]
\end{enumerate}

It is given that the distance between $A$ and $B$ is 330 m.

\begin{enumerate}[label=(\alph*)]
\setcounter{enumi}{1}
\item Determine the speed of the car at $A$. [2]
\end{enumerate}

\hfill \mbox{\textit{OCR H240/03 2021 Q9 [3]}}