OCR MEI Paper 1 2023 June — Question 15

Exam BoardOCR MEI
ModulePaper 1 (Paper 1)
Year2023
SessionJune
TopicProjectiles

15 A projectile is launched from a point on level ground with an initial velocity \(u\) at an angle \(\theta\) above the horizontal.
  1. Show that the range of the projectile is given by \(\frac { 2 u ^ { 2 } \sin \theta \cos \theta } { g }\).
  2. Determine the set of values of \(\theta\) for which the maximum height of the projectile is greater than the range, where \(\theta\) is an acute angle. Give your answer in degrees.