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Physics · MOTION IN A STRAIGHT LINE

हिन्दी

Given 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:

  1. Both (A) and (R) are true and (R) is the correct explanation of (A).
  2. Both (A) and (R) are true but (R) is NOT the correct explanation of (A).
  3. (A) is true but (R) is false.
  4. (A) is false but (R) is true.

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 \( \int v dt \).
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