question_answer

The acceleration of a particle is increasing linearly with time t as bt. The particle starts from the origin with an initial velocity\[{{V}_{o}}\]. The distance travelled by the particle in time twill be:

A) \[{{V}_{o}}t+\frac{1}{3}b{{t}^{2}}\]            

B) \[{{V}_{o}}t+\frac{1}{3}b{{t}^{3}}\]

C) \[{{V}_{o}}t+\frac{1}{6}b{{t}^{2}}\]            

D) \[{{V}_{o}}t+\frac{1}{2}b{{t}^{2}}\]