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, with air resistance negligible.
Find the value of α\alphaα.
Find the speed with which the stone enters the sea.
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.