(i)[3]
Find the values of $t$ for which the acceleration of $P$ is zero.
(ii)[3]
Find the displacement of $P$ from $O$ at $t = 100$.
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 in a straight line over $100$ s. It leaves a point $O$, and when $t$ seconds have passed since leaving $O$ its velocity is $v$ m s$^{-1}$, where $v = 0.00004t^3 - 0.006t^2 + 0.288t$.
Worked solution & mark scheme
This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Differentiate $v(t)$ to give $a(t) = 0.00012t^2 - 0.012t + 0.288$” …
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