To solve this problem, we will analyze the object’s velocity and position based on the given acceleration graph and the provided initial conditions. The key steps involve finding the object's velocity and position at the specified times using calculus principles (integration).

Given:

• Initial velocity: $v_0 = 5 \, \text{m/s}$
• Initial position: $x_0 = 0 \, \text{m}$
• The graph shows acceleration ($a(t)$) as a function of time.
• You asked for velocities and positions at $t = 2 \, \text{s}$ and $t = 4 \, \text{s}$.

To proceed, I need more details about the acceleration graph (shape, values). Could you provide this information, or upload the graph?