The graph that shows his acceleration over time is option (A)
How the acceleration was calculated
The acceleration can be found from the rate of change of the velocity with time.
The data from the table indicates that the ordered pair of velocity and time are; (0, 0), (1, -3), (2, -6), (3, -9), (4, -12), and (5, -15)
The rate of change of velocity with time, Δv/Δt, is therefore;
Δv/Δt = (-15 - 0)/(5 - 0) = -3
Δv/Δt = -3 m/s²
The rate of change of velocity with time, which is the acceleration is 3 m/s², which is a constant, represented by a horizontal line of y = -3, on the graph, which corresponds with the first graph, option (A)
The complete question obtained from a similar question found through search is as follows;
Superman runs until reaching his flight takeoff speed of 13 m/s. A graph of his velocity over time is shown below, where rightward is positive velocity direction
Which graph shows his acceleration over time
Please find attached the velocity graph and the options for the acceleration graphs, created with MS Excel