Mathematics 9709 · AS & A Level · Forces and equilibrium

Forces and equilibrium — practice question

The velocity-time graph shown represents a parachutist’s vertical descent. The motion has four phases: free fall with the parachute shut; slowing down at a steady rate with the parachute open; descending at constant speed with the parachute open; and stopping immediately on reaching the ground.
(i)[2]

Show that the total distance fallen equals $1048\,\text{m}$.

(ii)[5]

The parachutist’s weight is $850\,\text{N}$. Determine the upward force on the parachutist caused by the parachute during the second stage.

Worked solution & mark scheme

This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: Correct use of area under the velocity-time graph OR $s=\tfrac12(u+v)t$

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