Mathematics 9709 · AS & A Level · Probability

Probability — practice question

A particle is launched at an angle of $\theta^{\circ}$ below the horizontal from the top of a vertical cliff that is $26\text{ m}$ high. It lands on horizontal ground $8\text{ m}$ from the foot of the cliff $2\text{ s}$ after it is 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: From horizontal motion, take $v\cos\theta = 8/2$

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