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

The acceleration of a particle is increasing linerly 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|87 Videos
  • APPENDICES (REVISION EXERCISE)

    AAKASH SERIES|Exercise LAW OF MOTION|128 Videos
  • APPENDICES (REVISION EXERCISE)

    AAKASH SERIES|Exercise LAW OF MOTION|128 Videos
  • APPENDICES ( REVISION EXERCISE )

    AAKASH SERIES|Exercise REVISION EXERCISE (MAGNETISM AND MATTER )|52 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 the origin with an initial velocity v_0 . The distance travelled by the particle in time t will be

The acceleratin of a particle increases linearly with time t as 6t. If the initial velocity of the particles is zero and the particle starts from the origin, then the distance traveled by the particle in time t will be

The position of a particle along x-axis at time t is given by x=1 + t-t^2 . The distance travelled by the particle in first 2 seconds is

If acceleration a(t) = 3t^(2) and initial velocity u=0 m/s , then the velocity of the particle after time t=4 s

A particle moves in a straight line from origin. Its velocity time curve is shown. Find the distance of particle at the =8sec. From the origin and the distance travelled by the particle during first 8 seconds.

A particle, starting from rest, moves in a straight line with constant acceleration a_0 for a time interval t_0 .Then is accelerates at a constant rate 2a_0 for time interval 2t_0 .The distance travelled by the particle in time 3t_0 from the starts is S . Then (S)/(a_0t_0^(2) )=

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

The velocity-time graph of a particle in straight line motion is velocity-time graph of a particle in straight line motion is shown in. The particle starts its motion from origin. . The distance of the particle from the origin after 8 s is .

The velocity time graph of a particle moving along a straight line is shown in the figure. In the time interval from t=0 to t=8 second, answer the following three question. The distance travelled by the particle is :

Figure shows the speed versus time graph for a particle. Find the distance travelled by the particle during the time t=0 to t=3s.

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

    Text Solution

    |

  3. The acceleration of a particle is increasing linerly with time t as bt...

    Text Solution

    |

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

    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. The speed-time graph of a particle moving along a fixed direction is s...

    Text Solution

    |

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

    Text Solution

    |

  9. STATEMENT-1 : For solution of volatile liquids, the partial vapour pre...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  14. A particle moving along straight line has velocity v = mu s where s is...

    Text Solution

    |

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

    Text Solution

    |

  16. On a long horizontally moving belt (Fig.3.26), a child runs to and fro...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |