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  • Displacement , S of a particle at time t is S=t^3-6t , find the acceleration at time t, when velocity becomes zero.

Displacement , S of a particle at time t is S=t^3-6t , find the acceleration at time t, when velocity becomes zero.

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Solution:         

v=fracmathrmd Smathrmd t=3t^2-6\ \Rightarrow a=fracmathrmd vmathrmd t=6t

Given ,            v=0Rightarrow 3t^2-6=0Rightarrow t=sqrt2\ \ Thus,a=6sqrt2m/s^2 

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Deependra Verma

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