In this question use g=9.8g = 9.8g=9.8 m s−2^{-2}−2.
A stone is thrown horizontally with speed 12 m s−1^{-1}−1 from the top of a cliff, 45 m above horizontal ground.
The stone is modelled as a particle moving freely under gravity, and air resistance is modelled as negligible.
Find the time taken for the stone to reach the ground.
Find the horizontal distance travelled by the stone before it reaches the ground.
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.