Home
Class 12
PHYSICS
The displacement of a particle after tim...

The displacement of a particle after time is given by `x = k/b^2 (1-e^(-bt))` where 'b' is a constant. The acceleration of the particle is

A

`ke^(-bt)`

B

`-ke^(-bt)`

C

`k/b^2 e^(-bt)`

D

`(-k)/b^2e^(-bt)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • MECHANICAL PROPERTIES OF SOLIDS

    MBD PUBLICATION|Exercise QUESTION BANK |224 Videos
  • MOTION OF SYSTEM OF PARTICLES AND RIGID BODY

    MBD PUBLICATION|Exercise QUESTION BANK|234 Videos

Similar Questions

Explore conceptually related problems

The potential energy of a body of mass m is given by U=ax+by where x,y are position co-ordinate of the particle. The acceleration of the particle is

This displacement of a particle is given by s=(3t^2+5t+7) what type of motion the body executes?

The position x of a particle varies with time (t) as x= at^2 - bt^3 . The acceleration at time t of the particle will be equal of zero. When is equal to

A particle moves along a straight line such that its displacement at any time t is given by S= (t^3-3t^2+2) m What is the displacement when the acceleration is zero ?

MBD PUBLICATION-MOTION IN A STRAIGHT LINE -QUESTION BANK
  1. A relation between time t and distance x is t= alpha x^2 + beta x whe...

    Text Solution

    |

  2. The velocity time relation of an electron starting from rest is given ...

    Text Solution

    |

  3. The displacement of a particle after time is given by x = k/b^2 (1-e^(...

    Text Solution

    |

  4. A stone is dropped from the top of a tower of height h. After 1 second...

    Text Solution

    |

  5. A stone is dropped from a certain height which can reach the ground in...

    Text Solution

    |

  6. A train of 100 m long travelling at 40m/s starts overtaking another tr...

    Text Solution

    |

  7. A car starts from rest and moves with constant acceleration. The ratio...

    Text Solution

    |

  8. A ball is dropped from the top of a tower 100m high. Simultaneously an...

    Text Solution

    |

  9. The velocity v and displacement r of a body are related by v^2 = kr wh...

    Text Solution

    |

  10. A car accelerates from rest at constant rate of 2m/s^2 for some time. ...

    Text Solution

    |

  11. A body travels 200cm in the first two second and 220cm in the next fou...

    Text Solution

    |

  12. The deceleration experienced by a moving motorboat, after it's engine ...

    Text Solution

    |

  13. An object accelerates from rest to a velocity 27.5m/s in 10 secs, the...

    Text Solution

    |

  14. A stone is dropped from the 25 storey of a building and it reaches the...

    Text Solution

    |

  15. A ball falls from the window of a railway carriage moving horizontally...

    Text Solution

    |

  16. A body is dropped from a height 39.2m. After it crosses half distance ...

    Text Solution

    |

  17. A stone dropped from the top of a tower of travel 5/9th of the height ...

    Text Solution

    |

  18. A food packet is dropped from a helicopter rising up with a velocity o...

    Text Solution

    |

  19. A bus starts moving with acceleration of 2m/s^2. A cyclist 96m behind ...

    Text Solution

    |

  20. A particle starts its motion from rest under the action of a constant ...

    Text Solution

    |