Question 15
In this question use g=9.8g = 9.8g=9.8 m s−2^{-2}−2.
A ball is projected from a point O O\,O on horizontal ground with speed U U\,U m s−1^{-1}−1 at an angle θ \theta\,θ above the horizontal. The ball is modelled as a particle and air resistance is modelled as negligible.
A vertical wall of height 6 m stands on the same horizontal ground, 20 m from OOO, in the vertical plane of the ball's motion. The ball just passes over the top of the wall.
The ball lands on the ground 32 m from OOO.
Find the value of θ \theta\,θ and the value of UUU.
3.3 Projectiles (A-level only) Questions
91 exam-style questions on OCR (MEI) A Level Maths 3.3 Projectiles (A-level only), covering 3.3.1 Model motion under gravity using vectors (A-level only), 3.3.2 Position, velocity, range and maximum height (A-level only), 3.3.3 Find the initial velocity of a projectile (A-level only), 3.3.4 Equation of the trajectory (A-level only), and 3.3.5 Solve simple projectile problems (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.