An aircraft moves along a straight horizontal runway with constant acceleration. It passes a point \(A\) on the runway with speed \(16 \mathrm {~m} \mathrm {~s} ^ { - 1 }\). It then passes the point \(B\) on the runway with speed \(34 \mathrm {~m} \mathrm {~s} ^ { - 1 }\). The distance from \(A\) to \(B\) is 150 m .
- Find the acceleration of the aircraft.
- Find the time taken by the aircraft in moving from \(A\) to \(B\).
- Find, to 3 significant figures, the speed of the aircraft when it passes the point mid-way between \(A\) and \(B\).
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{ee3cbd24-55b1-4003-85bb-26d98f79a118-3_419_569_963_717}
\captionsetup{labelformat=empty}
\caption{Fig. 1}
\end{figure}
A particle has mass 2 kg . It is attached at \(B\) to the ends of two light inextensible strings \(A B\) and \(B C\). When the particle hangs in equilibrium, \(A B\) makes an angle of \(30 ^ { \circ }\) with the vertical, as shown in Fig. 1. The magnitude of the tension in \(B C\) is twice the magnitude of the tension in \(A B\).