In this question use g=9.81 m s−2g = 9.81 \text{ m s}^{-2}g=9.81 m s−2.
A rescue flare is launched from a point LLL at the edge of a vertical cliff. The initial velocity of the flare is u m s−1u \text{ m s}^{-1}u m s−1 at an angle of 35∘35^\circ35∘ above the horizontal.
The flare reaches its maximum height exactly 1.51.51.5 seconds after launch. It eventually lands in the sea at a point SSS, which is 202020 metres below the level of LLL.
Determine the value of uuu.
Calculate the total time of flight of the flare from launch to landing in the sea.
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.