Particles $P$ and $Q$ move on a line of greatest slope of a smooth inclined plane. $P$ is released from rest at a point $O$ on the line and $2{\text{ }}s$ later passes through the point $A$ with speed $3.5{\text{ }}m{\text{ }}{s^{ - 1}}$.
a) Find the acceleration of $P$ and the angle of inclination of the plane.
At the instant that $P$ passes through $A$ the particle $Q$ is released from rest at $O$. At time $t\,s$ after $Q$ is released from $O$, the particles $P$ and $Q$ are $4.9{\text{ }}m$ apart.
b) Find the value of $t$.
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