A particle moves along the x axis. Its position is given by the equation \(x = 2 +3t - 4t^2\) with x in meters and t in seconds. Determine (a) its position when it changes direction and (b) its velocity when it returns to the position it had at t = 0.

25. A particle moves along the x axis. Its position is given by the equation \(x = 2 +3t - 4t^2\) with x in meters and t in seconds. Determine (a) its position when it changes direction and (b) its velocity when it returns to the position it had at t = 0.