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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

6 s

B

12 s

C

18 s

D

20 s

Text Solution

Verified by Experts

The correct Answer is:
B
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Knowledge Check

  • The displacement y (in metre) of a body varies with time t (in seconds) as y = -(2)/(3)t^(2)16t+2 . The body comes to rest in a time

    A
    8s
    B
    10s
    C
    12s
    D
    14s

  • If the displacement of a particle varies with time as sqrt x = t+ 3

    A
    velocity of the particle is inversely proportional to t
    B
    velocity of particle varies linearly with t
    C
    velocity of particle is proportional to `sqrt t`
    D
    initial velocity of the particle is zero

  • The displacement of a body of mass 2 kg varies with time t as S = t^2 + 2t , where S is in m and t is in s. The work done by all the forces acting on the body during the time interval t = 2 to t = 4 s is

    A
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    B
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    C
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    D
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