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The acceleration of a particle is increa...

The acceleration of a particle is increasing linearly with time t as bt. The particle starts from the origin with an initial velocity `v_0`. The distance travelled by the particle in time t will be

A

`V_(0)t+(1)/(3)bt^(2)`

B

`V_(0)t+(1)/(3)bt^(3)`

C

`V_(0)t+(1)/(6)bt^(3)`

D

`V_(0)t+(1)/(2)bt^(2`)

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