Kinematics - Finding the Equation of Displacement from Velocity

An object at \(A\), with an initial displacement of \(3\) m to the right from a fixed point \(O\), travels in a straight line so that its velocity, \(v\) ms\({}^{-1}\), is given by \(v = t^2 - 5t + 6\) where \(t\) is the time in seconds after leaving \(A\).

1. Find the values of \(t\) when the object comes to an instantaneous rest.
2. Find the acceleration of the object at \(t = 5\) s.
3. Obtain an expression, in terms of \(t\), for the displacement of the object from \(O\) after \(t\) seconds.
4. Find the average speed of the object in the first \(5\) seconds.