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, $s_2=20t-0.5gt^2$” …