CAIE M2 2002 June — Question 7

Exam BoardCAIE
ModuleM2 (Mechanics 2)
Year2002
SessionJune
TopicProjectiles

7 A ball is projected from a point \(O\) with speed \(V \mathrm {~m} \mathrm {~s} ^ { - 1 }\), at an angle of \(30 ^ { \circ }\) above the horizontal. At time \(T\) s after projection, the ball passes through the point \(A\), whose horizontal and vertically upward displacements from \(O\) are 10 m and 2 m respectively.
  1. By using the equation of the trajectory, or otherwise, find the value of \(V\).
  2. Find the value of \(T\).
  3. Find the angle that the direction of motion of the ball at \(A\) makes with the horizontal.