Home
Class 12
PHYSICS
The position x of a particle varies with...

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

`2a/3b`

B

`a/b`

C

`a/3b`

D

zero

Text Solution

Verified by Experts

The correct Answer is:
C
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

What is the acceleration at the end of 2 s of the particle that moves with rule s =sqrt(t)+1 ?

What is the acceleration at the end of 3 s of the particle that moves with the rule s=3t^2+5t+2 .

What is the acceleration, at the end of 2 s of the particle that moves with rule s = sqrt(t) + 1 ?

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

The acceleration of a particle starting from rest varies with time according to the relation a=-sw^2 sin wt The displacement of the particle at time 't' will be

What is the acceleration at the end of 3s of the particle that moves with the rule S = 3t^(2) + 5t + 2 ?

A particle moves in x - y plan according to equation x = 4t^2 + 5t + 16 and y = 5t. The acceleration of particle must be

A particle moves in x-y plane according to equations x=4t^2+5t+16 and 6y=5t . What is the acceleration of the particle?

MBD PUBLICATION-MOTION IN A STRAIGHT LINE -QUESTION BANK
  1. Brakes are applied to a train travelling at 72km/h . After passing ove...

    Text Solution

    |

  2. A body moving with uniform acceleration describes 12m in the 3rd sec o...

    Text Solution

    |

  3. The position x of a particle varies with time (t) as x=at^2 - bt^3 . T...

    Text Solution

    |

  4. A particle moves in a straight line with retardation proportional to i...

    Text Solution

    |

  5. The acceleration of a particle starting from rest varies with time acc...

    Text Solution

    |

  6. A ball is released from the top a tower of height h meter. It takes T ...

    Text Solution

    |

  7. A relation between time t and distance x is t= alpha x^2 + beta x whe...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |