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The displacement y (in metres) of a body varies with time t (in sec.) as $y = \frac{- 3}{2} t^{2} + 36 t + 2 .$ How long does the body take to come to rest ?

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10 s

12 s

16 s

8 s

answer is C.

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Detailed Solution

$v = \frac{dy}{dt} = - 3 t + 36 = 0 \Rightarrow t = 12 s .$

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