Displacement-time graph:
The displacement-time graph shown in the adjoining figure represents how the position of an object changes with respect to time. The graph consists of a curved line that starts from the origin and gradually increases its slope. This indicates that the object is initially at rest, then starts moving with an increasing velocity.

Velocity-time graph:
The velocity-time graph corresponds to the given displacement-time graph and provides information about how the velocity of the object changes with respect to time. By analyzing the displacement-time graph, we can determine the shape of the velocity-time graph.

Interpreting the graph:
1. Initial position and velocity:
- At the start, the object is at rest, as indicated by the flat portion of the displacement-time graph at the beginning.
- The corresponding velocity-time graph will have a flat line at the horizontal axis, indicating zero velocity.

2. Increasing displacement and velocity:
- As time progresses, the displacement of the object increases gradually.
- This is represented by the increasing slope of the displacement-time graph.
- The corresponding velocity-time graph will have a positive slope, indicating that the object is moving with increasing velocity.

3. Maximum displacement and constant velocity:
- At a certain point in time, the displacement reaches its maximum value.
- The corresponding velocity-time graph will have a horizontal line at a certain positive value, indicating that the object is moving with a constant velocity.

4. Decreasing displacement and negative velocity:
- After reaching the maximum displacement, the object starts moving in the opposite direction.
- This is represented by the decreasing slope of the displacement-time graph.
- The corresponding velocity-time graph will have a negative slope, indicating that the object is moving with decreasing velocity.

5. Final position and zero velocity:
- Eventually, the object comes to rest at a new position.
- The corresponding velocity-time graph will have a flat line at the horizontal axis, indicating zero velocity.

Summary:
The velocity-time graph corresponding to the given displacement-time graph starts with a flat line at zero velocity, gradually increases with a positive slope, reaches a constant positive velocity, decreases with a negative slope, and finally ends with a flat line at zero velocity. The shape of the velocity-time graph can be determined by analyzing the slope and shape of the displacement-time graph.