CAIE M2 2019 March — Question 3

Exam BoardCAIE
ModuleM2 (Mechanics 2)
Year2019
SessionMarch
TopicProjectiles

3 A small ball is projected from a point \(O\) on horizontal ground. At time \(t \mathrm {~s}\) after projection the horizontal and vertically upwards displacements of the ball from \(O\) are \(x \mathrm {~m}\) and \(y \mathrm {~m}\) respectively, where \(x = 4 t\) and \(y = 6 t - 5 t ^ { 2 }\).
  1. Find the equation of the trajectory of the ball.
  2. Hence or otherwise calculate the angle of projection of the ball and its initial speed.