Home
Class 11
PHYSICS
The relation 3t=sqrt(3x)+6 describe the ...

The relation `3t=sqrt(3x)+6` describe the displacement of a particle in one direction where x is in metres and t in sec.
The displacement, when velocity is zero is

A

24 m

B

12 m

C

5 m

D

zero

Text Solution

Verified by Experts

The correct Answer is:
D

`3t=sqrt(3x)+6`
`x=3(t-2)^(2)`
`v=(dx)/(dt)=6(t-2)`
When `v=0impliest=2 s`
Atv `t=2 s, x=0`
Promotional Banner

Topper's Solved these Questions

  • MOTION IN A STRAIGHT LINE

    CP SINGH|Exercise EXERCISES|128 Videos
  • MOTION IN A PLANE

    CP SINGH|Exercise Exercises|69 Videos
  • NEET PREVIOUS YEAR

    CP SINGH|Exercise Solved Questions|64 Videos

Similar Questions

Explore conceptually related problems

The relation 3t=sqrt(3x)+6 describes the displacement of a particle in one" direction where "x" is in metres and t in sec.The displacement,when velocity is zero,is meters.

The displacement of a particle is moving by x = (t - 2)^2 where x is in metres and t in second. The distance covered by the particle in first 4 seconds is.

The displacement of a partcle is given by x=(t-2)^(2) where x is in metre and t in second. The distance coverred by the particle in first 3 seconds is

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

For a particle displacement time relation is t = sqrt(x) + 3 . Its displacement when its velocity is zero -

The displacement x of particle moving in one dimension, under the action of a constant force is related to the time t by the equation t = sqrt(x) +3 where x is in meters and t in seconds . Find (i) The displacement of the particle when its velocity is zero , and (ii) The work done by the force in the first 6 seconds .

The distance x of a particle moving in one dimensions, under the action of a constant force is related to time t by the equation, t=sqrt(x)+3 , where x is in metres and t in seconds. Find the displacement of the particle when its velocity is zero.

The displacement of a particle in S.H.M. is given by x = sinomegat+sqrt(3)cosomegatm . Then at t = 0 its displacement in metres is

The displacement x of a particle moving in one dimension under the action of a constant force is related to time t by the equation t=sqrt(x)+3 , where x is in meter and t is in second. Find the displacement of the particle when its velocity is zero.

The displacement x of a particle moving in one dismension under the action of a constant force is frlated to time t by the equation tsqrtx+3 , where x is in merers and t is in seconds, Find the displacemect of the particle when its velocity is zero.

CP SINGH-MOTION IN A STRAIGHT LINE-EXERCISES
  1. The position of a particle moving on the x-axis is given by x=t^(3)+4t...

    Text Solution

    |

  2. The displacement of a body along the x-axis depends on time as sqrt(x)...

    Text Solution

    |

  3. The relation 3t=sqrt(3x)+6 describe the displacement of a particle in ...

    Text Solution

    |

  4. The distance covered by a particle varies with as x=k/b(1-e^(-bt)). Th...

    Text Solution

    |

  5. The displacement x of a particle varies with time t as x = ae^(-alpha ...

    Text Solution

    |

  6. A particle moves along the X-axis as x=u(t-2s)=at(t-2)^2.

    Text Solution

    |

  7. If the velocity of a particle is given by v=(180-16x)^((1)/(2))(m)/(s)...

    Text Solution

    |

  8. A particle move a distance x in time t according to equation x = (t + ...

    Text Solution

    |

  9. The relation between time t and displacement x is t = alpha x^2 + beta...

    Text Solution

    |

  10. The velocity of a particle is v = v0 + g t + ft^2. If its position is ...

    Text Solution

    |

  11. A particle is moving with velocity v=4t^(3)+3 t^(2)-1 m//s. The disp...

    Text Solution

    |

  12. The acceleration a in ms^-2 of a particle is given by a=3t^2+2t+2, whe...

    Text Solution

    |

  13. A particle, initially at rest, starts moving in a straight line with a...

    Text Solution

    |

  14. The acceleration of particle is increasing linearly with time t as bt....

    Text Solution

    |

  15. A particle is moving under constant acceleration a=k t. The motion sta...

    Text Solution

    |

  16. In the previous problem, if initial velocity is v(0), then velocity an...

    Text Solution

    |

  17. The deceleration exerienced by a moving motor blat, after its engine i...

    Text Solution

    |

  18. An object , moving with a speed of 6.25 m//s , is decelerated at a ra...

    Text Solution

    |

  19. The velocity of a particle moving in the positive direction of x-axis...

    Text Solution

    |

  20. A particle located at x = 0 at time t = 0, starts moving along with t...

    Text Solution

    |