(i)[2]
Determine the set of $t$ values for which the particle is decelerating.
(ii)[5]
Determine $s$ in terms of $t$.
(iii)[3]
Determine the time at which the particle's velocity is $10\,\text{m s}^{-1}$.
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. At time $t\,\text{s}$, its displacement from $O$ is $s\,\text{m}$, and its acceleration is $a\,\text{m s}^{-2}$, where $a = 6t - 2$. When $t = 1$, $s = 7$ and when $t = 3$, $s = 29$.