\begin{enumerate}
  \item The points $A$ and $B$ lie on the same straight horizontal road.
\end{enumerate}

Figure 2, on page 11, shows the speed-time graph of a cyclist $P$, for his journey from $A$ to $B$.\\
At time $t = 0 , P$ starts from rest at $A$ and accelerates uniformly for 9 seconds until his speed is $V \mathrm {~m} \mathrm {~s} ^ { - 1 }$

He then travels at constant speed $V \mathrm {~ms} ^ { - 1 }$\\
When $t = 42$, cyclist $P$ passes $B$.\\
Given that the distance $A B$ is 120 m ,\\
(a) show that $V = 3.2$\\
(b) Find the acceleration of cyclist $P$ between $t = 0$ and $t = 9$

Cyclist $P$ continues to cycle along the road in the same direction at the same constant speed, $V \mathrm {~ms} ^ { - 1 }$

When $t = 6$, a second cyclist $Q$ sets off from $A$ and travels in the same direction as $P$ along the same road. She accelerates for $T$ seconds until her speed is $3.6 \mathrm {~m} \mathrm {~s} ^ { - 1 }$

She then travels at constant speed $3.6 \mathrm {~m} \mathrm {~s} ^ { - 1 }$\\
Cyclist $Q$ catches up with $P$ when $t = 54$\\
(c) On Figure 2, on page 11, sketch a speed-time graph showing the journeys of both cyclists, for the interval $0 \leqslant t \leqslant 54$\\
(d) Find the value of $T$

\begin{figure}[h]
\begin{center}
  \includegraphics[alt={},max width=\textwidth]{2f2f89a6-cec4-444d-95d9-0112887d87eb-11_661_1509_292_278}
\captionsetup{labelformat=empty}
\caption{Figure 2}
\end{center}
\end{figure}

A copy of Figure 2 is on page 13 if you need to redraw your answer to part (c).

Only use this copy of Figure 2 if you need to redraw your answer to part (c).\\
\includegraphics[max width=\textwidth, alt={}, center]{2f2f89a6-cec4-444d-95d9-0112887d87eb-13_666_1509_374_278}

\section*{Copy of Figure 2}

\hfill \mbox{\textit{Edexcel M1 2024 Q4}}