The acceleration of a particle is increasing linearly with time t as bt. The particle starts from origin with an initial velocity `v_(0)`. The distance travelled by the particle in time t will be

Options

A. `v_(0)t + 1/3 b t^(2)`
B. `v_(0)t+1/2 b t^(2)`
C. `v_(0)t+1/6 b t^(3)`
D. `v_(0) t+ 1/3 b t^(3)`

Answer

C