Edexcel M2 — Question 7

Exam BoardEdexcel
ModuleM2 (Mechanics 2)
TopicProjectiles

7. \begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{9126ebb1-eaa7-4a40-953f-5dc819c9f479-6_675_1243_392_415} \captionsetup{labelformat=empty} \caption{Fig. 3}
\end{figure} A shot is projected upwards from the top of a cliff with a velocity of \(28 \mathrm {~m} \mathrm {~s} ^ { - 1 }\) at an angle of \(30 ^ { \circ }\) above the horizontal. It strikes the ground 52.5 m vertically below the level of the point of projection, as shown in Fig. 3. The motion of the shot is modelled as that of a particle moving freely under gravity. Find, to 3 significant figures,
  1. the horizontal distance from the point of projection at which the shot strikes the ground,
  2. the speed of the shot as it strikes the ground.