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

April 15, 2022

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Physics Problems

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) $22ms^{-2}$

(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