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^(2)`

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

  • MOTION IN A STRAIGHT LINE

    AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT (SECTION - D)|15 Videos
  • MOTION IN A STRAIGHT LINE

    AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT (SECTION - B)|33 Videos
  • MOTION IN A PLANE

    AAKASH INSTITUTE ENGLISH|Exercise Assignement section -J (Aakash Challengers Questions)|7 Videos
  • MOTION IN STRAIGHT LINE

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (SECTION - J)|2 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 INSTITUTE ENGLISH-MOTION IN A STRAIGHT LINE-ASSIGNMENT (SECTION - C)
  1. A particle moves along a straight line. At a time t (in seconds) the d...

    Text Solution

    |

  2. Two bodies A (of mass 1 kg) and B (of mass 3 kg) are dropped from heig...

    Text Solution

    |

  3. The displacement x of a particle varies with time t as x = ae^(-alpha ...

    Text Solution

    |

  4. A ball is thrown vertically up ward. It has a speed of 10m/sec when it...

    Text Solution

    |

  5. The displacement 'x' (in meter) of a particle of mass 'm' (in kg) movi...

    Text Solution

    |

  6. The speed - time graph of a particle moving along a solid curve is sho...

    Text Solution

    |

  7. The displacement-time graph of moving particle is shown below The...

    Text Solution

    |

  8. Two bodies A (of mass 1 kg) and B (of mass 3 kg) are dropped from heig...

    Text Solution

    |

  9. A particle moving along x-axis has acceleration f, at time t, given f=...

    Text Solution

    |

  10. A ball is dropped from a high rise platform at t=0 starting from rest....

    Text Solution

    |

  11. The velocity of train increases uniformly from 20 km/h to 60 km/h in 4...

    Text Solution

    |

  12. A particle moves along a straight line such that its displacement at a...

    Text Solution

    |

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

    Text Solution

    |

  14. Water drops fall at regular intervals from a tap which is 5 m above th...

    Text Solution

    |

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

    Text Solution

    |

  16. If a car, initially at rest, accelerates uniformly to a speed of 50ms^...

    Text Solution

    |

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

    Text Solution

    |

  18. Motion of particle is given by equation s=(5t^(3)+3t^(2)+8t+17)m T...

    Text Solution

    |

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

    Text Solution

    |

  20. A man throws balls with same speed vertically upwards one after the ot...

    Text Solution

    |