Statement I: Area under the velocity–time graph gives the distance travelled by the body in a given time. Statement II: Area under the acceleration–time graph is equal to the change in velocity in the given time. [2023]

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Q.
Given below are two statements: [2023]

Statement I: Area under the velocity–time graph gives the distance travelled by the body in a given time.

Statement II: Area under the acceleration–time graph is equal to the change in velocity in the given time.

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

1 Both Statement I and Statement II are false.

2 Statement I is correct but Statement II is false.

3 Statement I is incorrect but Statement II is true.

4 Both Statement I and Statement II are true.

Ans.
(3)

Area under velocity–time graph gives displacement of body in given time.

Area under acceleration–time graph gives change in velocity in the given time.

So Statement I is false

Statement II is True

Solution

1 Both Statement I and Statement II are false.

2 Statement I is correct but Statement II is false.

3 Statement I is incorrect but Statement II is true.

4 Both Statement I and Statement II are true.

Ans.
(3)

Area under velocity–time graph gives displacement of body in given time.

Area under acceleration–time graph gives change in velocity in the given time.

So Statement I is false

Statement II is True

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Solution

1 Both Statement I and Statement II are false.

2 Statement I is correct but Statement II is false.

3 Statement I is incorrect but Statement II is true.

4 Both Statement I and Statement II are true.

Ans. (3) Area under velocity–time graph gives displacement of body in given time. Area under acceleration–time graph gives change in velocity in the given time. So Statement I is false Statement II is True

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Ans.
(3)

Area under velocity–time graph gives displacement of body in given time.

Area under acceleration–time graph gives change in velocity in the given time.

So Statement I is false

Statement II is True