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

Kinematics of motion in a straight line — practice question

Particle $A$ is launched vertically upward from level ground with an initial speed of $30\,\text{m s}^{-1}$. At that same instant, particle $B$ is let go from rest $15\,\text{m}$ directly above $A$. One of the particles has twice the mass of the other. As the motion proceeds, $A$ and $B$ collide and stick together to make particle $C$.
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Find the difference between the two possible times for which $C$ reaches the ground.

Worked solution & mark scheme

This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: Appropriate displacement equations, e.g. $s_A = 30t - 5t^2$ and $s_B = 5t^2$

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