Mathematics 9709 · AS & A Level · Probability

Probability — practice question

A particle is launched from the top of a vertical cliff of height $26\,\text{m}$ at an angle of $\theta^\circ$ below the horizontal. It lands on horizontal ground $8\,\text{m}$ from the base of the cliff $2\,\text{s}$ after being projected.
(i)[6]

Determine the speed of projection of the particle and the value of $\theta$.

(ii)[3]

Determine the direction of motion of the particle immediately before it strikes the ground.

Worked solution & mark scheme

This 9-mark question has a full step-by-step worked solution and mark scheme. One marking point: Applies $v\cos\theta = 8/2$

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