Edexcel M2 — Question 7

Exam BoardEdexcel
ModuleM2 (Mechanics 2)
TopicProjectiles

7. \begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{f0e751be-f095-4a56-8ee9-8433cc4873e9-4_236_942_1101_479} \captionsetup{labelformat=empty} \caption{Fig. 3}
\end{figure} Figure 3 shows the path of a golf ball which is hit from the point \(O\) with speed \(49 \mathrm {~ms} ^ { - 1 }\) at an angle of \(30 ^ { \circ }\) to the horizontal. The path of the ball is in a vertical plane containing \(O\) and the hole at which the ball is aimed. The hole is 170 m from \(O\) and on the same horizontal level as \(O\).
  1. Suggest a suitable model for the motion of the golf ball. Find, correct to 3 significant figures,
  2. the distance beyond the hole at which the ball hits the ground,
  3. the magnitude and direction of the velocity of the ball when it is directly above the hole.