Home
Class 12
PHYSICS
The acceleration of a particle is increa...

The acceleration of a particle is increasing linearly with time t as bt. The particle starts from the origin with an initial velocity `v_0` . The distance travelled by the particle in time t will be

A

`v_0 t + 1/3 bt^2`

B

`v_0 t + 1/2 bt^2`

C

`v_0 t + 1/6 bt^3`

D

`v_0 t + 1/3 bt^3`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • APPENDICES (REVISION EXERCISE)

    AAKASH SERIES|Exercise MOTION IN A PLANE|79 Videos
  • APPENDICES (REVISION EXERCISE)

    AAKASH SERIES|Exercise LAW OF MOTION|91 Videos
  • APPENDICES (REVISION EXERCISE)

    AAKASH SERIES|Exercise LAW OF MOTION|91 Videos
  • APPENDICES ( REVISION EXERCISE )

    AAKASH SERIES|Exercise REVISION EXERCISE (MOVING CHANGES & MEGNETISM)|95 Videos
  • ATOMS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|21 Videos

Similar Questions

Explore conceptually related problems

The acceleration of a particle is increasing linearly with time t as bt. The particle starts from origin with an initial velocity v_(0) . The distance travelled by the particle in time t will be

A particle starts from origin at time t=0 and moves in positive x-direction. Its velocity v varies with times as v = 10that(i) cm/s. The distance covered by the particle in 8 s will be

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

AAKASH SERIES-APPENDICES (REVISION EXERCISE)-MOTION IN A STRAIGHT LINE
  1. The displacement of a particle is given by x = (t - 2)^(2) where x is ...

    Text Solution

    |

  2. An electron starting from rest has a velocity that increases linearly ...

    Text Solution

    |

  3. The acceleration of a particle is increasing linearly with time t as b...

    Text Solution

    |

  4. A car accelerates from rest at a constant rate alpha for some time, af...

    Text Solution

    |

  5. On a two-lane road, car A is travelling with a speed of 36 km h^(-1). ...

    Text Solution

    |

  6. Two towns A and B are connected by a regular bus service with a bus le...

    Text Solution

    |

  7. Two cars start in a race with velocities u(1) and u(2) and travel in a...

    Text Solution

    |

  8. A train starting from rest travels the first part of its journey with ...

    Text Solution

    |

  9. The displacement x of a particle varies with time according to the rel...

    Text Solution

    |

  10. The acceleration (a) of a particle depends on displacement (s) as a a ...

    Text Solution

    |

  11. A train takes t sec to perform a journey , if travel for t/n sec with ...

    Text Solution

    |

  12. On fogy day two drivers spot in front of each other when 80 m apart, t...

    Text Solution

    |

  13. A particle moving along straight line has velocity v = mu s^2 where s ...

    Text Solution

    |

  14. A bird is tossing (flying to and fro) between two cars moving towards ...

    Text Solution

    |

  15. On a long horizontally moving belt , a child runs to and fro with a s...

    Text Solution

    |

  16. A stone is dropped from a hill of height 180 m. Two seconds later anot...

    Text Solution

    |

  17. Water drops fall from the roof a building 20 m high at regular time in...

    Text Solution

    |

  18. A body is dropped from a height of 16 m. The body strikes the ground a...

    Text Solution

    |

  19. The distance travelled by a falling body in the last second of its mot...

    Text Solution

    |

  20. A ball dropped from a point P crosses a point Q in t seconds. The time...

    Text Solution

    |