Question : The acceleration of a particle increasing linearly with time π‘ is ππ‘. The particle starts from the origin with an initial velocity π£0. The distance travelled by the particle in time π‘ will be
(A) v_{0}t+\dfrac{1}{6}bt^{3}
(B) v_{0}t+\dfrac{1}{3}bt^{2}
(C) v_{0}t+\dfrac{1}{3}bt^{3}
(D) v_{0}t+\dfrac{1}{6}bt^{2}
Answer : option (A)
Solution :
