Edexcel M1 2002 January — Question 3 8 marks

Exam BoardEdexcel
ModuleM1 (Mechanics 1)
Year2002
SessionJanuary
Marks8
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicConstant acceleration (SUVAT)
TypeTime to reach midpoint or specific position
DifficultyEasy -1.2 This is a straightforward SUVAT question requiring direct application of standard kinematic equations with no problem-solving insight needed. Part (a) is a 'show that' using v=u+at, part (b) uses s=ut+½at² or v²=u²+2as, and part (c) applies the same formula at the midpoint. All three parts are routine textbook exercises with clearly signposted methods.
Spec3.02d Constant acceleration: SUVAT formulae

A racing car moves with constant acceleration along a straight horizontal road. It passes the point \(O\) with speed 12 m s\(^{-1}\). It passes the point \(A\) 4 s later with speed 60 m s\(^{-1}\).
  1. Show that the acceleration of the car is 12 m s\(^{-2}\). [2]
  2. Find the distance \(OA\). [3]
The point \(B\) is the mid-point of \(OA\).
  1. Find, to 3 significant figures, the speed of the car when it passes \(B\). [3]

A racing car moves with constant acceleration along a straight horizontal road. It passes the point $O$ with speed 12 m s$^{-1}$. It passes the point $A$ 4 s later with speed 60 m s$^{-1}$.

\begin{enumerate}[label=(\alph*)]
\item Show that the acceleration of the car is 12 m s$^{-2}$. [2]
\item Find the distance $OA$. [3]
\end{enumerate}

The point $B$ is the mid-point of $OA$.

\begin{enumerate}[label=(\alph*)]
\setcounter{enumi}{2}
\item Find, to 3 significant figures, the speed of the car when it passes $B$. [3]
\end{enumerate}

\hfill \mbox{\textit{Edexcel M1 2002 Q3 [8]}}