(i)[2]
Find an expression for $v$ as a function of $t$.
(ii)[2]
Find the two values of $t$ at which $P$ is instantaneously at rest.
(iii)[3]
Find the lowest velocity of $P$.
(c)[3]
Find the least value of the velocity of $P$.
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 from $O$. After $t$ s from leaving $O$, its displacement from $O$ is $s$ m, where $s = t^3 - 4t^2 + 4t$, and its velocity is $v\,\text{m s}^{-1}$.