(i)[3]
Find the positive value of $t$ at which the acceleration becomes zero.
(ii)[5]
Find the distance travelled by $P$ before it changes direction of motion.
Mathematics 9709 · AS & A Level · Kinematics of motion in a straight line
Kinematics of motion in a straight line — practice question
A particle $P$ begins at $O$ and moves along a straight line. After $t$ seconds from leaving $O$, its velocity is $v\,\text{m s}^{-1}$, where $v = 0.75t^2 - 0.0625t^3$.
Worked solution & mark scheme
This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Applying $a = \mathrm{d}v/\mathrm{d}t$, this gives $a = 1.5t - 0.1875t^2$” …
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