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Q.

The displacement y (in metres) of a body varies with time t (in sec.) as y=−32  t2 +  36t+2. How long does the body take to come to rest ?

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a

10 s

b

12 s

c

16 s

d

8 s

answer is C.

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Detailed Solution

v=dydt =−3t+36=0     ⇒   t=12  s.

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