Velocity-time graph corresponding to displacement-time graph shown in ...
Displacement-Time Graph
The displacement-time graph shown in the adjoining figure represents the change in position of an object over a certain period of time. The x-axis represents time, while the y-axis represents displacement. The graph consists of various sections, each indicating different aspects of the object's motion.
Section 1: Constant Positive Displacement
In the initial section of the graph, the displacement of the object remains constant and positive. This indicates that the object is moving in a straight line with a constant velocity in the positive direction. The slope of this section is zero, suggesting that the object is not accelerating.
Section 2: Constant Negative Displacement
Following the initial section, there is a sudden change in the displacement-time graph, where the displacement becomes constant but negative. This implies that the object has reversed its direction and is now moving with a constant velocity in the negative direction. The slope of this section is also zero, indicating no acceleration.
Section 3: Positive Linear Increase in Displacement
In the next part of the graph, the displacement steadily increases in the positive direction with time. This indicates that the object is accelerating in the positive direction. The slope of this section is positive and constant, representing a constant positive velocity.
Section 4: Constant Positive Displacement
After the positive linear increase, the displacement becomes constant again, but this time in the positive direction. This suggests that the object is now moving with a constant positive velocity, without any acceleration. The slope of this section is zero.
Section 5: Negative Linear Decrease in Displacement
The final section of the graph shows a linear decrease in displacement in the negative direction with time. This implies that the object is decelerating or slowing down in the negative direction. The slope of this section is negative and constant, representing a constant negative velocity.
Velocity-Time Graph
The velocity-time graph corresponding to the displacement-time graph can be obtained by analyzing the slopes of the displacement-time graph. The slope of the displacement-time graph at any point represents the velocity of the object at that particular time.
Section 1: Horizontal Line at zero velocity
The velocity-time graph starts with a horizontal line at zero velocity, corresponding to the initial section of the displacement-time graph where the object is at rest.
Section 2: Horizontal Line at constant negative velocity
Following the initial section, there is a sudden change in the velocity-time graph, where the velocity becomes constant and negative. This corresponds to the section in the displacement-time graph where the object is moving with a constant negative velocity.
Section 3: Positive Sloping Line
The next part of the velocity-time graph is a positive sloping line, indicating an increase in velocity with time. This corresponds to the positive linear increase in displacement in the displacement-time graph, representing the object's acceleration in the positive direction.
Section 4: Horizontal Line at constant positive velocity
After the positive slope, the velocity-time graph becomes a horizontal line at a constant positive velocity. This corresponds to the section in the displacement-time graph where the object is moving with a constant positive velocity.
Section 5: Negative Sloping Line
The final section of the velocity-time graph is a negative sloping line, indicating a decrease in velocity with time. This