8. Two trams, tram $A$ and tram $B$, run on parallel straight horizontal tracks. Initially the two trams are at rest in the depot and level with each other.

At time $t = 0 , \operatorname { tram } A$ starts to move. Tram $A$ moves with constant acceleration $2 \mathrm {~ms} ^ { - 2 }$ for 5 seconds and then continues to move along the track at constant speed.

At time $t = 20$ seconds, tram $B$ starts from rest and moves in the same direction as tram $A$. Tram $B$ moves with constant acceleration $3 \mathrm {~ms} ^ { - 2 }$ for 4 seconds and then continues to move along the track at constant speed.

The trams are modelled as particles.
\begin{enumerate}[label=(\alph*)]
\item Sketch, on the same axes, a speed-time graph for the motion of tram $A$ and a speed-time graph for the motion of tram $B$, from $t = 0$ to the instant when tram $B$ overtakes $\operatorname { tram } A$.

At the instant when the two trams are moving with the same speed, $\operatorname { tram } A$ is $d$ metres in front of tram $B$.
\item Find the value of $d$.
\item Find the distance of the trams from the depot at the instant when tram $B$ overtakes $\operatorname { tram } A$.\\

\includegraphics[max width=\textwidth, alt={}, center]{5a2cf693-d966-4787-8778-ecc8a79a6265-32_2647_1835_118_116}\\
VALV SIHI NI IIIIIM ION OC\\
VALV SIHI NI IMIMM ION OO\\
VIUV SIHI NI JIIXM ION OC
\end{enumerate}

\hfill \mbox{\textit{Edexcel M1 2021 Q8 [13]}}