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The displacement of a particle in time 't' is given by $S = t^{3} - t^{2} - 8 t - 18$ The acceleration of the particle when its velocity vanishes is

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$15 {units/sec}^{2}$

$10 {units/sec}^{2}$

$5 {units/sec}^{2}$

$20 {units/sec}^{2}$

answer is B.

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Detailed Solution

$V = 0 \Rightarrow t = 2 or - \frac{4}{3}, a = 6 t - 2; at t = 2 \Rightarrow a = 10$

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