(i)[5]
Find the value of $x$ at which $P$ has its greatest velocity, and determine this maximum velocity.
(ii)[2]
Calculate the acceleration of $P$ at the instant it is at rest, given that $x > 0$.
Mathematics 9709 · AS & A Level · Representation of data
Representation of data — practice question
A particle $P$ leaves rest at point $O$ and moves in a straight line. The acceleration of $P$ is $(15 - 6x)\,\text{m s}^{-2}$, where $x\,\text{m}$ denotes the displacement of $P$ from $O$.