(a)[6]
Find the value of $s$ when $P$ has its minimum velocity, and also find the speed of $P$ at this moment.
(b)[4]
Find the acceleration of $P$ at the instant when $P$ changes direction.
Mathematics 9709 · AS & A Level · Kinematics of motion in a straight line
Kinematics of motion in a straight line — practice question
A particle $P$ travels along a straight line. If $t\text{ s}$ have elapsed since it passed through point $O$ on the line, then its displacement from $O$ is $s\text{ m}$, where $s = 0.01t^3 - 0.3t^2 - 2.07t$.
Worked solution & mark scheme
This 10-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Differentiate $s=0.01t^3-0.3t^2-2.07t$ to get the velocity expression.” …
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