[" 123.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 "],[[" (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)]]