Kinematics of motion in a straight line — practice question

A particle $P$ is let go from rest at the top of a smooth plane inclined at an angle $\alpha$ to the horizontal, where $\sin\alpha = \frac{16}{65}$. The distance covered by $P$ from the top to the bottom is $S\,\text{m}$, and the speed of $P$ at the bottom is $8\,\text{m s}^{-1}$. The time taken by $P$ to move from the top to the bottom of the plane is $T\,\text{s}$.