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The displacement y (in metres) of a body...

The displacement y (in metres) of a body varies with time T (in sec.) as  `y=(-3)/(2)t^(2)+36t+2`. How long does the body takes to come to the rest ?

A

8s

B

10s

C

12s

D

16s

Text Solution

Verified by Experts

The correct Answer is:
c
`y=(-3)/(2)t^(2)+36t+2 implies v=(dy)/(dt)=-3t +36`
`implies-3t+36=0 implies t=12s`
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