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)bt^(2)`
B. `V_(0)t+(1)/(2)bt^(2)`
C. `V_(0)t+(1)/(6)bt^(3)`
D. `V_(0)t+(1)/(3)bt^(3)`

Answer

C