Crey | The acceleration of a particle is increasing linearly with time t as bt. The particle starts from the origin with an initial velocity v₀. The distance travelled by the particle in time t will be v₀t+(1/3)bt², v₀t+(1/3)bt³, v₀t+(1/6)bt³, v₀t+(1/2)bt²

Question

The acceleration of a particle is increasing linearly with time t as bt. The particle starts from the origin with an initial velocity v₀. The distance travelled by the particle in time t will be

Options :

v₀t+(1/3)bt²
v₀t+(1/3)bt³
v₀t+(1/6)bt³
v₀t+(1/2)bt²

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