Mathematics 9709 · AS & A Level · Kinematics of motion in a straight line
Kinematics of motion in a straight line — practice question
A particle $X$ travels on a straight track and is at point $O$ when $t = 0$. At time $t$, the displacement of $X$ from $O$ is $s\,\text{m}$, where $s = 3t^2 - 6t$.
(a)[6]
Find the instant when $X$ is instantaneously at rest, and then determine the total distance travelled by $X$ from $t = 0$ to $t = 16$.
(b)[7]
When the velocity of $Y$ is $-9.6$ m s$^{-1}$, show that the displacement of $X$ from $O$ matches the displacement of $Y$ from $P$.
Worked solution & mark scheme
This 13-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Differentiates the displacement correctly.” …