Bcz, Displacement = v×t

Area under v-t graph gives Displacement
and Slope of v-t graph gaves acceleration.

The area below a v-t (velocity-time) graph represents the displacement of an object. Displacement refers to the change in position of an object from its initial position to its final position. It is a vector quantity that includes both magnitude (distance) and direction.

Explanation:

1. Understanding the v-t graph:
- The v-t graph represents the relationship between velocity and time.
- The velocity of an object is plotted on the y-axis (vertical) and time is plotted on the x-axis (horizontal).
- The slope of the v-t graph represents the object's acceleration. A steeper slope indicates a higher acceleration.

2. Displacement and v-t graph:
- Displacement is the change in position of an object. It can be positive, negative, or zero, depending on the direction of motion.
- On a v-t graph, the displacement of an object can be determined by calculating the area below the graph.
- The area below the v-t graph can be divided into different regions depending on the shape of the graph.

3. Constant velocity:
- If the v-t graph is a straight line (horizontal or inclined), it represents an object moving at a constant velocity.
- The displacement of the object can be calculated by multiplying the velocity by the time interval.
- In this case, the area below the v-t graph is a rectangle, and the displacement is equal to the length of the rectangle.

4. Changing velocity:
- If the v-t graph is not a straight line, it represents an object with changing velocity (acceleration or deceleration).
- The displacement can still be determined by calculating the area below the graph.
- The area below the v-t graph is divided into different shapes depending on the nature of the velocity change.
- The displacement can be calculated by summing up the areas of these different shapes.

5. Conclusion:
- In summary, the area below a v-t graph represents the displacement of an object.
- Displacement is a measure of the change in position of an object from its initial position to its final position.
- By calculating the area below the v-t graph, we can determine the magnitude and direction of the displacement.
- Therefore, the correct answer is option 'B', displacement.