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_(0)t +(1)/(3) bt^(2)`

B

`v_(0)t +(1)/(3) bt^(3)`

C

`v_(0)t +(1)/(6) bt^(3)`

D

`v_(0)t +(1)/(2)bt^(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • MOTION IN ONE DIMENSION

    ERRORLESS |Exercise Graphical Questions|23 Videos

  • MOTION IN ONE DIMENSION

    ERRORLESS |Exercise Assertion & Reason|30 Videos

  • MOTION IN ONE DIMENSION

    ERRORLESS |Exercise Motion Under Gravity|81 Videos

  • GRAVITATION

    ERRORLESS |Exercise SET|27 Videos

  • MOTION IN TWO DIMENSION

    ERRORLESS |Exercise Exercise|319 Videos

Similar Questions

Explore conceptually related problems

The acceleration of 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

A particle starts from rest and has velocity kt after time t. The distance travelled in time t is-

The acceleration of a particle varies with time t as a=t^(2)+t+2 where t is in seconds. The particle starts with an initial velocity v-3m/s at t=0. find the velocity of the particle at the end of 5s.

The distance travelled (in meters) by the particle from time t = 0 to t = t will be –

The distance travelled (in meters) by the particle from time to t = 0 to t = 1s will be –

A particle moves in the x-y plane according to the law x=t^(2) , y = 2t. Find: (a) velocity and acceleration of the particle as a function of time, (b) the speed and rate of change of speed of the particle as a function of time, (c) the distance travelled by the particle as a function of time. (d) the radius of curvature of the particle as a function of time.

A particle moves with an initial velocity v_(0) and retardation alpha v , where v is the velocity at any time t.

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

ERRORLESS -MOTION IN ONE DIMENSION-Critical Thinking
  1. A particle moving in a straight line covers half the distance with spe...

    Text Solution

    |

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

    Text Solution

    |

  3. The motion of a body is given by the equation dv//dt=6-3v, where v is ...

    Text Solution

    |

  4. A particle of mass m moves on the x- axis as follows : it starts fro...

    Text Solution

    |

  5. A particle starting from rest. Its acceleration (a) versus time (t) is...

    Text Solution

    |

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

    Text Solution

    |

  7. A stone dropped from a building of height h and it reaches after t sec...

    Text Solution

    |

  8. A ball is projected upwards from a height h above the surface of the e...

    Text Solution

    |

  9. A particle is dropped from certain height. The time taken by it to fal...

    Text Solution

    |

  10. A man throws ball with the same speed vertically upwards one after the...

    Text Solution

    |

  11. If a ball is thrown vertically upwards with speed u, the distance cove...

    Text Solution

    |

  12. A particle starts sliding down a frictionless inclined plane. If S(n...

    Text Solution

    |

  13. Which of the following velocity-time graphs shows a realistic situatio...

    Text Solution

    |

  14. Which of the following velocity-time graphs (v-t graph) represent unif...

    Text Solution

    |

  15. Acceleration-time graph of a body is shown. The corresponding velocity...

    Text Solution

    |

  16. The given graph shows the variation of velocity with displacement. Whi...

    Text Solution

    |

  17. The acceleration time graph of a body is shown below the most probable...

    Text Solution

    |

  18. From the following displacement-time graph find out the velocity of a ...

    Text Solution

    |

  19. From the velocity time plot shown in figure find the distance travelle...

    Text Solution

    |