Mathematics 9709 · AS & A Level · Kinematics of motion in a straight line
Kinematics of motion in a straight line — practice question
Particle $A$ travels along a straight line at a constant speed of $10\,\text{m s}^{-1}$. Two seconds after $A$ has passed point $O$ on the line, particle $B$ passes through $O$ and moves along the line in the same direction as $A$. At $O$, particle $B$ has speed $16\,\text{m s}^{-1}$ and then undergoes a constant deceleration of $2\,\text{m s}^{-2}$.
(i)[3]
Determine expressions, in terms of $t$, for the displacement from $O$ of each particle $t\,\text{s}$ after $B$ passes through $O$.
(ii)[3]
Find the distance between the particles when $B$ comes to instantaneous rest.
(iii)[3]
Determine the minimum distance between the particles.
Worked solution & mark scheme
This 9-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Try $s_A = k + 10t$ for any constant $k$” …