A body starts from origin and moves along 𝑥-axis such that at any instant velocity is 𝑣𝑡 = 4𝑡 3 − 2𝑡 where 𝑡 is in second and 𝑣𝑡 in ms −1 . The acceleration of the particle when it is 2m from the origin is

Question : A body starts from origin and moves along 𝑥-axis such that at any instant velocity is 𝑣𝑡 = 4𝑡 3 − 2𝑡 where 𝑡 is in second and 𝑣𝑡 in ms −1 . The acceleration of the particle when it is 2m from the origin is

(A) 28ms^{-2}

(B) 22ms^{-2}

(C) 12ms^{-2}

(D) 10ms^{-2}

Answer : option (B)

Solution :

A body starts from origin and moves along 𝑥-axis such that at any instant velocity is 𝑣𝑡 = 4𝑡 3 − 2𝑡 where 𝑡 is in second and 𝑣𝑡 in ms −1 . The acceleration of the particle when it is 2m from the origin is
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