Question

# The area under the acceleration-time graph between any two instants t=t1 and t=t2 gives the velocity gained/lost in time δt=t2−t1 if :

A
only if the particle moves with a uniform velocity
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B
only if the particle moves with a uniform acceleration
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C
only if the particle moves with an acceleration increasing at a uniform rate
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D
in all cases irrespective of whether the motion is one of uniform velocity, or of uniform acceleration or of variable acceleration
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Solution

## The correct option is C in all cases irrespective of whether the motion is one of uniform velocity, or of uniform acceleration or of variable accelerationacceleration is given as a=dvdt...(i)Integrating equation (i)v=∫t2t1adt irrespective of anything.

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