Kinematics of motion in a straight line — practice question

Particle $P$ moves on a straight line from $A$ to $B$ with constant acceleration $0.05\text{ m s}^{-2}$. Its speed at $A$ is $2\text{ m s}^{-1}$, and its speed at $B$ is $5\text{ m s}^{-1}$. Particle $Q$ also moves on the same straight line from $A$ to $B$, beginning from rest at $A$. After $t\text{ s}$ from leaving $A$, the speed of $Q$ is $kt^3\text{ m s}^{-1}$, where $k$ is a constant. $Q$ takes the same amount of time to go from $A$ to $B$ as $P$.