A

Step 1: Analyze the area under the force vs. displacement graph.
The total work done on the particle can be calculated using the area under the curve of the F-s graph.

Step 2: Calculate maximum speed occurrence.
The maximum speed occurs when the total work done is maximized, which is at the peak of displacement where the force first reduces to zero.

Step 3: Use the work-energy principle.
Work done = K.E. = \frac{1}{2}mv^2.
With rising speed until the zero-force point indicates maximum kinetic energy at that point.

Step 4: Compute maximum speed with the work done obtained from the area. Assuming the area gives work = 4 Joules, then setting up the equation:
\frac{1}{2}mv^2 = Work
4 J = 1 kg v^2
v^2 = 4 => v = 2 m/s.

Step 5: Evaluate further speed returns to zero at the end of displacement where force becomes negative (if applicable).
Therefore, (i) Max speed at x = peak displacement, (ii) Max speed = 2 m/s, (iii) Speed returns to zero at final turn in direction or peak retraction of graph.