CAIE M2 2011 June — Question 6

Exam BoardCAIE
ModuleM2 (Mechanics 2)
Year2011
SessionJune
TopicProjectiles

6 A particle \(P\) is projected with speed \(26 \mathrm {~m} \mathrm {~s} ^ { - 1 }\) at an angle of \(30 ^ { \circ }\) below the horizontal, from a point \(O\) which is 80 m above horizontal ground.
  1. Calculate the distance from \(O\) of the particle 2.3 s after projection.
  2. Find the horizontal distance travelled by \(P\) before it reaches the ground.
  3. Calculate the speed and direction of motion of \(P\) immediately before it reaches the ground.