OCR M2 2014 June — Question 1

Exam BoardOCR
ModuleM2 (Mechanics 2)
Year2014
SessionJune
TopicProjectiles

1 A football is kicked from horizontal ground with speed \(20 \mathrm {~ms} ^ { - 1 }\) at an angle of \(\theta ^ { \circ }\) above the horizontal. The greatest height the football reaches above ground level is 2.44 m . By modelling the football as a particle and ignoring air resistance, find
  1. the value of \(\theta\),
  2. the range of the football.