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

`v_0t+frac(1)(3)bt^2`

`v_0t+frac(1)(2)bt^2`

`v_0t+frac(1)(6)bt^3`

`v_0t+frac(1)(3)bt^3`

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