In this case, given the graph of the velocity, we can obtain the next graphs.
Obtaining the position graph given the velocity graph
If the velocity is constant and positive the displacement graph will be a line with a positive slope.
If the velocity is a line with a negative slope the displacement graph will be a parabola that opens downwards
If the velocity is constant and negative the displacement graph will be a line with a negative slope
If the line is a line with a positive slope the displacement graph will be a parabola that opens upwards.
Obtaining the acceleration graph given the velocity graph
If the velocity is constant the acceleration is 0
If the velocity is a line with a positive slope the acceleration is constant and positive
If the velocity is a line with a negative slope the acceleration is constant and negative
