Question

A graph is drawn between velocity and time for the motion of a particle. The area under the curve between the time intervals t1 and t2 gives________

Answer 1

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The area under the velocity-time curve between times t1 and t2 is equal to the displacement of the object during that interval of time

hOpe this helps

Answer 2

Answer:

The area under the velocity time graph between the time intervals t1 and t2 give the displacement of the object between the time interval t1 and t2.

Explanation:

• If we divide the graph into many very thin vertical rectangles, We can say that in that very small time interval the velocity will be constant.
• So by that, we can conclude that the displacement of the object in each small interval of time will be the same as the product of the velocity in that interval and the length of the interval which is actually the area of that rectangle.
• So if we add up the area in a particular interval of time then we will get the total displacement in that interval.

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