CAIE M2 2004 June — Question 6

Exam BoardCAIE
ModuleM2 (Mechanics 2)
Year2004
SessionJune
TopicProjectiles

6 A particle is projected from a point \(O\) on horizontal ground. The velocity of projection has magnitude \(V \mathrm {~m} \mathrm {~s} ^ { - 1 }\) and direction upwards at \(35 ^ { \circ }\) to the horizontal. The particle passes through the point \(M\) at time \(T\) seconds after the instant of projection. The point \(M\) is 2 m above the ground and at a horizontal distance of 25 m from \(O\).
  1. Find the values of \(V\) and \(T\).
  2. Find the speed of the particle as it passes through \(M\) and determine whether it is moving upwards or downwards.