The velocity of a particle traveling along and axis is given. Near what time is the instantaneous acceleration equal to zero

Instantaneous acceleration at any point on the graph is the slope of the tangent line to the graph at that point. When this line is horizontal and has slope 0 - this when the instantaneous acceleration of the particle is equal to 0. These times correspond to the extrema of the velocity function, which according to the plot occur around t ≈ 1.75, t ≈ 2.75, t ≈ 3.25, and for all t ≥ 4.
I would say t = 2.7 is the most likely choice.