Given below are two statements.
Statement I: Net area under velocity time graph gives the distance travelled by the body in a given time.
Statement II: Net 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.

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Both Statement I and Statement II are false.

Statement I is correct, but statement II is false.

Statement I is incorrect, but statement II is true.

Both Statement I and Statement II are true.

answer is C.

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Detailed Solution

Areas under v-t graph gives displacement $v = \frac{dx}{dt} \Rightarrow x = vt$ .

Area under a – t graph gives $Δa = \frac{dv}{dt} \Rightarrow dv = adt$

$\Rightarrow area = ∆ v = \int adt$ i.e, Change in velocity.

Statement I is incorrect but statement II is true.

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