Edexcel M2 2015 January — Question 6

Exam BoardEdexcel
ModuleM2 (Mechanics 2)
Year2015
SessionJanuary
TopicProjectiles

6. \begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{25c503ad-94c7-4137-83b5-c3e0aea62f0c-11_452_865_264_495} \captionsetup{labelformat=empty} \caption{Figure 3}
\end{figure} A small ball \(P\) is projected with speed \(7 \mathrm {~m} \mathrm {~s} ^ { - 1 }\) from a point \(A 10 \mathrm {~m}\) above horizontal ground. The angle of projection is \(55 ^ { \circ }\) above the horizontal. The ball moves freely under gravity and hits the ground at the point \(B\), as shown in Figure 3. Find
  1. the speed of \(P\) as it hits the ground at \(B\),
  2. the direction of motion of \(P\) as it hits the ground at \(B\),
  3. the time taken for \(P\) to move from \(A\) to \(B\).