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}

Answer : option (C)

Solution :

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
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