Mathematics 9709 · AS & A Level · Kinematics of motion in a straight line

Kinematics of motion in a straight line — practice question

One particle is launched vertically upwards from point $O$ at a speed of $12\,\text{m s}^{-1}$. Two seconds afterwards, a second particle is launched vertically upwards from $O$ at a speed of $20\,\text{m s}^{-1}$. At time $t$ s after the second particle is launched, the two particles collide.
(i)[5]

Determine $t$.

(ii)[1]

Hence determine the height above $O$ where the particles collide.

Worked solution & mark scheme

This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: For the second particle, $s_2=20t-0.5gt^2$

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