In this question use g=9.81 m s−2g = 9.81 \text{ m s}^{-2}g=9.81 m s−2.
A specialized fire-suppressant canister is launched from a mobile unit positioned on a hilltop. The canister is projected from a point AAA with an initial speed uuu at an angle of 25∘25^\circ25∘ above the horizontal.
The canister hits its target at point BBB, which is located in a valley 22 metres vertically below the level of launch at AAA.
It is observed that the canister takes 1.8 seconds to reach the peak of its trajectory.
Calculate the value of uuu.
Determine the total time elapsed from the moment of launch until the canister strikes its target at point BBB.
Practise Edexcel A Level Maths Projectiles with exam-style questions for A Level Maths. 73 questions covering Horizontal Projection, Horizontal and Vertical Components, Projection at Any Angle, and Projectile Motion Formulae, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.