CAIE M2 2012 June — Question 5

Exam BoardCAIE
ModuleM2 (Mechanics 2)
Year2012
SessionJune
TopicProjectiles

5 A ball is projected with velocity \(25 \mathrm {~m} \mathrm {~s} ^ { - 1 }\) at an angle of \(70 ^ { \circ }\) above the horizontal from a point \(O\) on horizontal ground. The ball subsequently bounces once on the ground at a point \(P\) before landing at a point \(Q\) where it remains at rest. The distance \(P Q\) is 17.1 m .
  1. Calculate the time taken by the ball to travel from \(O\) to \(P\) and the distance \(O P\).
  2. Given that the horizontal component of the velocity of the ball does not change at \(P\), calculate the speed of the ball when it leaves \(P\).