In this question use g=9.8g = 9.8g=9.8 m s−2^{-2}−2.
A stone is projected from the top of a cliff, 35 m above the sea, with speed 25 m s−1^{-1}−1 at an angle α \alpha\,α above the horizontal. The stone enters the sea at a point 60 m horizontally from the point of projection.
The stone is modelled as a particle moving freely under gravity.
Find the value of α\alphaα.
Find the speed with which the stone enters the sea.
265 exam-style questions on AQA A Level Maths 3.2 Q: Kinematics, covering 3.2.1 Language of kinematics, 3.2.2 Graphs in kinematics, 3.2.3 Constant acceleration formulae, 3.2.4 Calculus in kinematics (A-level only), and 3.2.5 Motion under gravity and projectiles (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.