In this question use g=9.81 m s−2g = 9.81 \text{ m s}^{-2}g=9.81 m s−2.
A particle is projected from a point OOO with an initial speed uuu at an angle of 40∘40^\circ40∘ above the horizontal.
The particle lands at a point PPP which is 15 metres vertically below the level of OOO.
The particle takes 1.2 seconds to reach the maximum height of its trajectory.
Find the value of uuu.
Find the total time that the particle is in flight.
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.