4
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{170edb27-324e-44df-8dc1-7d8fbad680fe-3_346_981_781_584}
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\caption{Fig. 4}
\end{figure}
Particles P and Q move in the same straight line. Particle P starts from rest and has a constant acceleration towards Q of \(0.5 \mathrm {~m} \mathrm {~s} ^ { - 2 }\). Particle Q starts 125 m from P at the same time and has a constant speed of \(10 \mathrm {~m} \mathrm {~s} ^ { - 1 }\) away from P . The initial values are shown in Fig. 4.
- Write down expressions for the distances travelled by P and by Q at time \(t\) seconds after the start of the motion.
- How much time does it take for P to catch up with Q and how far does P travel in this time?