(i)[4]
Find the time when the acceleration of the particle is zero.
(ii)[2]
Find the displacement and velocity of the particle at this moment.
Mathematics 9709 · AS & A Level · Kinematics of motion in a straight line
Kinematics of motion in a straight line — practice question
A particle travels along a straight line. Its displacement $t$ s after leaving a fixed point $O$ on the line is $s\text{ m}$, where $s = 2t^2 - \frac{80}{3}t^{\frac{3}{2}}$.
Worked solution & mark scheme
This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Differentiate $s$ to obtain $v$, e.g. $v = 4t - 40t^{0.5}$” …
- Full mark scheme, point by point
- Step-by-step worked solution
- Write your answer & get it marked instantly by AI