# The acceleration of a particle increases linearly with time 𝑡 as 6𝑡. If the initial velocity of the particle is zero and the particle starts from the origin, then the distance travelled by the particle in time 𝑡 will be

Question : The acceleration of a particle increases linearly with time 𝑡 as 6𝑡. If the initial velocity of the particle is zero and the particle starts from the origin, then the distance travelled by the particle in time 𝑡 will be

(A) 𝑡

(B) $t^{2}$

(C) $t^{3}$

(D) $t^{4}$