A particle starts from the origin and moves along the X-axis such that the velocity at any instant is given by 4t^3-2t, where t is in second and velocity is in ms^(-1). What is the acceleration of the particle when it is 2 m from the origin?

Question : A particle starts from the origin and moves along the X-axis such that the velocity at any instant is given by 4t^3-2t, where t is in second and velocity is in ms^(-1). What is the acceleration of the particle when it is 2 m from the origin?

(A) 10ms^{-2}

(B) 12ms^{-2}

(C) 22ms^{-2}

(D) 28ms^{-2}

Answer : option (C)

Solution :

A particle starts from the origin and moves along the X-axis such that the velocity at any instant is given by 4t^3-2t, where t is in second and velocity is in ms^(-1). What is the acceleration of the particle when it is 2 m from the origin?
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