Mathematics 9709 · AS & A Level · Kinematics of motion in a straight line
Kinematics of motion in a straight line — practice question
A cliff top is $40\text{ metres}$ above sea level. A man in a boat, near the foot of the cliff, is in trouble and launches a distress signal vertically upward from sea level.
(i)[2]
Determine the speed of projection of the signal, given that it rises to $5\text{ m}$ above the top of the cliff.
(ii)[2]
Work out for how long the signal stays above the height of the top of the cliff.
(iii)[3]
The man launches another distress signal vertically upwards from sea level. This second signal remains above the level of the cliff top for $\sqrt{17}\text{ s}$. Determine the speed of projection of the second signal.
Worked solution & mark scheme
This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Applies $0 = u^2 - 2gs$.” …