A projectile is launched from a point O O\,O on a horizontal level plane with an initial velocity of v m s−1v \text{ m s}^{-1}v m s−1 at an angle α \alpha\,α to the horizontal. The projectile needs to clear a horizontal distance of s s\,s metres before it hits the ground.
By modelling the projectile as a particle and neglecting air resistance, show that
sin2α≥sgv2 \sin 2\alpha \ge \frac{sg}{v^2} sin2α≥v2sgPractise Edexcel A Level Maths Projection at Any Angle with exam-style questions for A Level Maths. 62 questions, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.
