Given below are two statements: Statement I: Area under velocity- time graph gives distance travelle

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2.Motion in Straight Line

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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.

ABoth Statement $I$ and Statement $II$ are true.

BStatement $I$ is correct but Statement $II$ is false.

CStatement $I$ is incorrect but Statement $II$ is true.

DBoth Statement $I$ and Statement $II$ are False.

(JEE MAIN-2023)

Solution

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 $I$ false,Statement $II$ True.

Standard 11

Physics

The graph below shows the velocity versus time graph for a body.

Which of the following graphs represents the corresponding acceleration $v/s$ time graph ?

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A person sitting in a moving train with his face towards the engine, throws a coin vertically upwards. The coin falls ahead of person. The train:

easy

The position of a particle moving along $x$-axis given by $x=\left(-2 t^3+3 t^2+5\right) m$. The acceleration of particle at the instant its velocity becomes zero is ……. $m / s ^2$

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$Assertion$ : Retardation is directly opposite to the velocity.
$Reason$ : Retardation is equal to the time rate of decrease of speed.

easy

(AIIMS-2002)

If the velocity of a particle is $(10 + 2t^2) m/s$, then the average acceleration of the particle between $2s$ and $5s$ is……….$m/s^2$

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Solution

Similar Questions

The graph below shows the velocity versus time graph for a body. Which of the following graphs represents the corresponding acceleration $v/s$ time graph ?

A person sitting in a moving train with his face towards the engine, throws a coin vertically upwards. The coin falls ahead of person. The train:

The position of a particle moving along $x$-axis given by $x=\left(-2 t^3+3 t^2+5\right) m$. The acceleration of particle at the instant its velocity becomes zero is ……. $m / s ^2$

$Assertion$ : Retardation is directly opposite to the velocity. $Reason$ : Retardation is equal to the time rate of decrease of speed.

If the velocity of a particle is $(10 + 2t^2) m/s$, then the average acceleration of the particle between $2s$ and $5s$ is……….$m/s^2$

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The graph below shows the velocity versus time graph for a body.

Which of the following graphs represents the corresponding acceleration $v/s$ time graph ?

$Assertion$ : Retardation is directly opposite to the velocity.
$Reason$ : Retardation is equal to the time rate of decrease of speed.