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The displacement x of a body varies with...

The displacement `x` of a body varies with time `t` as `x= -2/3 t^(2)+16 t+2`. The body will come to rest after :

A

8s

B

10s

C

12s

D

16s

Text Solution

Verified by Experts

The correct Answer is:
C
Velocity `v= (dy)/(dt) = - (4)/(3) t + 16`
For body to be at rest, v= 0
`rArr - (4)/(3) t + 16=0 or t= 12 sec`
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