AQA M1 2013 January — Question 8

Exam BoardAQA
ModuleM1 (Mechanics 1)
Year2013
SessionJanuary
TopicProjectiles

8 A golf ball is hit from a point on a horizontal surface, so that it has an initial velocity \(V \mathrm {~m} \mathrm {~s} ^ { - 1 }\) at an angle \(\alpha\) above the horizontal. The ball travels through the air and after 2.4 seconds hits a vertical wall at a height of 3 metres. The wall is at a horizontal distance of 38.4 metres from the point where the ball was hit. The path of the ball is shown in the diagram.
\includegraphics[max width=\textwidth, alt={}, center]{ccc1db66-9700-4f22-905e-cc0bdf1fd3c1-18_300_1000_566_520} Assume that the weight of the ball is the only force that acts on it as it travels through the air.
  1. Find the horizontal component of the velocity of the ball.
  2. \(\quad\) Find \(V\).
  3. \(\quad\) Find \(\alpha\).