Home
Class 12
PHYSICS
The displacement X (in meters) of a body...

The displacement X (in meters) of a body varies with time (in sec) as `x=- (4)/(5)t^(2) + 16+ + 20`. The velocity of body will be zero at time:

A

8 s

B

10 s

C

16 s

D

20 s

Text Solution

Verified by Experts

The correct Answer is:
b
Here `x=-(4)/(5)t^(2) +16t+20`
Then `v=(dx)/(dt)=-(8)/(5)xxt+16`
or` 0 =-(8)/(5)t +16` or `(8)/(5)t=16`
or t=10 s
Promotional Banner

Topper's Solved these Questions

  • DESCRIPTION OF MOTION IN ONE DIMENSION

    MODERN PUBLICATION|Exercise MULTIPLE CHOICE QUESTION (LEVEL-II)|54 Videos

  • DESCRIPTION OF MOTION IN ONE DIMENSION

    MODERN PUBLICATION|Exercise Recent Competitive Question|12 Videos

  • CURRENT ELECTRICITY

    MODERN PUBLICATION|Exercise RECENT COMPETITIVE QUESTIONS|32 Videos

  • DESCRIPTION OF MOTION IN TWO AND THREE DIMENSION

    MODERN PUBLICATION|Exercise Revision TEST|36 Videos

Similar Questions

Explore conceptually related problems

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 ?

The linear momentum P of a body varies with time is given by a equation P = x + yt^(2) where x and y are constants. The net force acting on the body for one directional motion is proportional to :

The position x of a particle varies with time t as x = at^(2) -bt^(3) . For what value of time acceleration is zero?

If x = 4t^(2) - 5t and y = 6t , then acceleration of a body is given by

The magnetic flux phi (in weber) linked with a coil of resistance 10 Omega varies with time t (in second) as phi = 8t^2-4t+1 . The current induced in the coil at t = 0.1 sec is

MODERN PUBLICATION-DESCRIPTION OF MOTION IN ONE DIMENSION -Revision Test
  1. The displacement X (in meters) of a body varies with time (in sec) as ...

    Text Solution

    |

  2. The acceleration of a particle increasing linearly with timer is be. T...

    Text Solution

    |

  3. The relation between time and displacement is t=alphax^(2)+betax where...

    Text Solution

    |

  4. A body moves with uniform acceleration. If , U, and 1, be the average ...

    Text Solution

    |

  5. The velocity-time graph of a body moving in one dimension is as shown ...

    Text Solution

    |

  6. A bus is moving along a straight road with a uniform acceleration. It ...

    Text Solution

    |

  7. A body is released from tower of height 1000 m and falls freely. Anoth...

    Text Solution

    |

  8. The two ends of a train moving with a constant acceleration pass a cer...

    Text Solution

    |

  9. A body starts from rest with uniform acceleration in a st. line, Then ...

    Text Solution

    |

  10. A body is thrown up from the top of a tower with some velocity reaches...

    Text Solution

    |

  11. A motor car moving with uniform acceleration covers two successive kil...

    Text Solution

    |

  12. A bullet fired into a fixed target loses half of its velocity after pe...

    Text Solution

    |

  13. What is the maximum height of a stone thrown vertically upwards if its...

    Text Solution

    |

  14. A bullet loses half of its velocity in penetrating 18 cm into a block....

    Text Solution

    |

  15. A plumb line is hanging from the ceiling of a train. If the train move...

    Text Solution

    |

  16. A smooth steel ball is moving to and fro about the lowest position of ...

    Text Solution

    |

  17. A ball is dropped vertically from a height above the ground. It hits t...

    Text Solution

    |

  18. A car leaves station A for station B every 10 minutes. Simultaneously ...

    Text Solution

    |

  19. A body starts from rest with uniform acceleration in a st. line, Then ...

    Text Solution

    |

  20. A body falls from rest. In the last second of its fall, it covers half...

    Text Solution

    |

  21. In the above question the total height of fall is :

    Text Solution

    |