Physics · MOTION IN A STRAIGHT LINE
हिन्दीGiven below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A): The area under the velocity-time graph represents the displacement of the object. Reason (R): Integration of velocity with respect to time gives displacement. In the light of the above statements, choose the correct answer from the options given below:
Correct answer · Option 1
Both (A) and (R) are true and (R) is the correct explanation of (A).
Explanation
The area under the v-t curve represents displacement because geometrically and analytically it corresponds to the integral \( \int v dt \).