Mathematics 9709 · AS & A Level · Kinematics of motion in a straight line
Kinematics of motion in a straight line — practice question
Particles $A$ and $B$ start moving at the same moment from point $O$. They travel in the same direction along one straight line. At time $t\,\text{s}$ after the motion begins, the acceleration of $A$ is $a\,\text{m s}^{-2}$, where $a = 0.05 - 0.0002t$.
(i)[4]
State $A$’s velocity for $t = 200$ and for $t = 500$.
(ii)[6]
$B$ has constant acceleration for the first $200\,\text{s}$ and has the same velocity as $A$ when $t = 200$. $B$ has constant retardation from $t = 200$ to $t = 500$ and has the same velocity as $A$ when $t = 500$. Find the distance between $A$ and $B$ when $t = 500$.
Worked solution & mark scheme
This 10-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Find $v(t)$ by integrating $a(t)$” …