3 A particle \(A\) moves in a straight line with constant speed \(10 \mathrm {~m} \mathrm {~s} ^ { - 1 }\). Two seconds after \(A\) passes a point \(O\) on the line, a particle \(B\) passes through \(O\), moving along the line in the same direction as \(A\). Particle \(B\) has speed \(16 \mathrm {~m} \mathrm {~s} ^ { - 1 }\) at \(O\) and has a constant deceleration of \(2 \mathrm {~m} \mathrm {~s} ^ { - 2 }\).

1. Find expressions, in terms of \(t\), for the displacement from \(O\) of each particle \(t \mathrm {~s}\) after \(B\) passes through \(O\).
2. Find the distance between the particles when \(B\) comes to instantaneous rest.
3. Find the minimum distance between the particles.