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Physics

Assertion (A) : The slope of displacement-time graph gives the velocity.

Reason (R) : Velocity is the product of displacement and time.

  1. both A and R are true and R is the correct explanation of A
  2. both A and R are true and R is not the correct explanation of A
  3. assertion is false but reason is true
  4. assertion is true but reason is false

Motion in One Dimension

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Answer

assertion is true but reason is false

Explanation

Assertion (A) is true because the slope of a displacement-time graph is :

Slope=Change in displacementChange in time=velocity\text {Slope} = \dfrac {\text {Change in displacement}}{\text {Change in time}} = \text {velocity}

Reason (R) is false because velocity is not the product of displacement and time.

Instead,

Velocity=DisplacementTime\text {Velocity} = \dfrac {\text {Displacement}}{\text {Time}}

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