Given below are two statements Statement I: Area under velocity- time… | JEE Main 2023 (8 Apr, Shift 2)

Q18JEE Main 2023 · 8 APR · SHIFT 2Easy

Graphs of Motion

Given below are two statements

Statement I: Area under velocity- time graph gives the distance travelled by the body in a given time. Statement II: Area under acceleration- time graph is equal to the change in velocity in the given time.

In the light of given statements, choose the correct answer from the options given below.

Show answer and solution

Answer: (c)

Statement I: area under $v$ - $t$ gives displacement, not distance (negative areas cancel). False.
Statement II: $\int a\,dt = \Delta v$ , so area under $a$ - $t$ is the change in velocity. True.
So the answer is (c).

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