Home
Class 11
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_0t + 1/3 bt^2`

B

`v_0t + 1/2 bt^2`

C

`v_0 t + 1/6 bt^3`

D

`v_0t + 1/3 bt^2`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • RIVISION EXERCISE

    AAKASH SERIES|Exercise MOTION IN A STRAIGHT LINE (VERTICAL MOTION)|58 Videos

  • RIVISION EXERCISE

    AAKASH SERIES|Exercise MOTION IN A PLANE (PARALLELOGRAM LAW, TRIANGLE LAW, POLYGON LAW)|14 Videos

  • RIVISION EXERCISE

    AAKASH SERIES|Exercise UNITS AND MEASUREMNET (SIGNIFICANT FIGURES AND ROUNDING OFF)|34 Videos

  • RAY OPTICS

    AAKASH SERIES|Exercise EXERCISE III|64 Videos

  • ROTATIONAL DYNAMICS

    AAKASH SERIES|Exercise PRACTICE SHEET (ADVANCED) Integer Type Questions|7 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-RIVISION EXERCISE-MOTION IN A STRAIGHT LINE (HORIZONTAL MOTION)
  1. Two cars 1 & 2 starting from rest are moving with speeds V1 and V2 m//...

    Text Solution

    |

  2. A body starts with initial velocity u and moves with uniform accelerat...

    Text Solution

    |

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

    Text Solution

    |

  4. The acceleration 'a' in m//s^2 of a particle is given by a=3t^2+2t+2 ...

    Text Solution

    |

  5. The relation 3t = sqrt3x +6 describes the position of a particle in ...

    Text Solution

    |

  6. The displacement of a particle is given by x=(t-2)^2 where x is in me...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  12. Two cars start in a race with velocities u1 and u2 and travel in a st...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  18. A particle moving along straight line has velocity v = mus^2 where s ...

    Text Solution

    |

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

    Text Solution

    |

  20. On a long horizontally moving belt, a child runs to and fro with a spe...

    Text Solution

    |