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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=alphat+beta`. Find the velocity of the particle at time instant t.
Strategy : `a=(dv)/(dt)`

A

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

B

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

C

`alpha t^(2) + 1/2 beta t`

D

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

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