Area under the curve of velocity time graph gives:

  1. Distance
  2. Displacement
  3. Both 1 and 2
  4. None of these

Answer (Detailed Solution Below)

Option 2 : Displacement
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Detailed Solution

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CONCEPT:

Velocity: 

  • It is defined as the rate of change of the object’s position with respect to a frame of reference and time.
  • It is a vector quantity.​

Where dx = displacement, and dt = time

EXPLANATION:

  • We know that velocity is defined as the rate of change of displacement of a body.
  • The velocity of a body is given as,

Where dx = displacement, and dt = time

So displacement is given as,

⇒ dx = v.dt     -----(1)

  • By equation 1 we can say that the area under the curve of the velocity-time graph gives the displacement. Hence, option 2 is correct.

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