In this question use g=9.8g = 9.8g=9.8 m s−2^{-2}−2.
A ball, modelled as a particle, is projected from a point O O\,O on horizontal ground with speed 20 m s−1^{-1}−1 at an angle of 40° 40°\,40° above the horizontal. Air resistance is modelled as negligible.
A vertical wall of height 5 m stands on the same horizontal ground, at a distance of 12 m from OOO, in the vertical plane of the ball's motion.
Determine whether the ball passes over the wall.
260 exam-style questions on OCR A Level Maths 3.2 Kinematics, covering 3.2.1 Language of kinematics, 3.2.2 Graphs in kinematics, 3.2.3 Displacement-time and velocity-time graphs, 3.2.4 Constant acceleration formulae, 3.2.5 Constant acceleration in two dimensions (A-level only), 3.2.6 Non-uniform acceleration in one dimension (A-level only), 3.2.7 Non-uniform acceleration in two dimensions (A-level only), 3.2.8 Motion under gravity using vectors (A-level only), and 3.2.9 Projectiles (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.