Question
The area under the velocitytime graph between any two instants t = t_{1}and t = t_{2} gives the distance covered in time

Only if the particle moves with a uniform velocity

Only if the particle moves with a uniform acceleration

Only if the particle moves with acceleration increasing at a uniform rate

In all cases irrespective of whether the motion is one of uniform velocity, or of uniform acceleration or of variable acceleration
easy
Solution
In all cases irrespective of whether the motion is one of uniform velocity, or of uniform acceleration or of variable acceleration
The area under the velocitytime graph always gives the distance covered as it is given by the integral which is true irrespective of whether the body has a uniform velocity or a uniform or a nonuniform acceleration.
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