Mathematics 9709 · AS & A Level · Representation of data

Representation of data — practice question

Particle $P$ is projected from a point $O$, which is $80\,\text{m}$ vertically above horizontal ground, with speed $26\,\text{m s}^{-1}$ at an angle of $30^\circ$ below the horizontal.
(i)[4]

Calculate the distance of the particle from $O$ $2.3\,\text{s}$ after it has been projected.

(ii)[3]

Calculate the horizontal distance covered by $P$ before it hits the ground.

(iii)[4]

Calculate the speed and direction of motion of $P$ immediately before it hits the ground.

Worked solution & mark scheme

This 11-mark question has a full step-by-step worked solution and mark scheme. One marking point: Determines horizontal displacement $x = 26\cos30^\circ \times 2.3$

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