But if you calculate the acceleration without the graph, you are explicitly stating that the y-intercept is zero---which it might not be. So there are some actual reasons for making a graph.

If the acceleration part is just around 5 minutes total out of 45 minutes, the curved part of the position graph is rather difficult to see. Instead, this pod accelerates for 7 minutes at the ...

For the constant negative acceleration graphs the initial displacement is negative and the initial velocity is positive. Question. Which of the three motion graphs do you think is most useful?

These graphs also show if the object is moving at a constant speed or accelerating, decelerating, or still. What is shown on the velocity-time graph? Acceleration is shown by a straight rising line.