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The acceleration a of a particle startin...

The acceleration a of a particle starting from rest varies with time, according to relation `a=alpha t+beta`. The velocity of the particle after a time t will be

A

`alpha t^2/2+ beta`

B

`alpha t^2/2+ betat`

C

`alpha t^2+ 1/2betat`

D

`(alpha t^2+ beta)/2`

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