(i)[5]
Find how long the particle takes to travel from $P$ to $Q$.
(ii)[4]
Find the range of values of $t$ for which the particle's acceleration is positive.
Mathematics 9709 · AS & A Level · Kinematics of motion in a straight line
Kinematics of motion in a straight line — practice question
A particle moves along a straight line from point $P$ to point $Q$. $t$ seconds after leaving $P$, its velocity is $v\,\text{m s}^{-1}$, where $v = 4t - \frac{1}{16}t^3$. The distance $PQ$ is $64\,\text{m}$.