Home
Class 12
PHYSICS
The position x of a particle varies with...

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

A

`a/b`

B

`(2a)/(3b)`

C

`a/(3b)`

D

Zero

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 displacement of a particle in time 't' is given by S = t^(3) - t^(2) - 8t =18 . The acceleration of the particle when its velocity vanishes is

The linear momentum of a particle varies with time t as P = a + bt + ct^2 . Then which of the following is correct ?

A particle moves in a circle with speed v varying with time as v(t) = 2t. The total acceleration of the particle after it completes 2 rounds of cycle is

The acceleration of a particle varie with time as shown in the figure Find the displacement of the particle in the interval from 1 = 2s to t = 4s Assume that v = 0 at t=0

A particle moves along the X-axis as x=u(t-2)+a(t-2)^2 (a) the initial velocity of the particle is u (b) the acceleration of the particle is a (c) the acceleration of the particle is 2a (d) at t = 2 s particle is at the origin

A particle moves along the X-axis as x=u(t-2)+a (t-2)^(2) a)the initial velocity of the particle is u b)]the acceleration of the particle is a c)the acceleration of the particle is 2a d)at t=2 s particle is at the origin

AAKASH SERIES-APPENDICES (REVISION EXERCISE)-MOTION IN A STRAIGHT LINE
  1. Two cars 1 & 2 strating from rest are moving with speeds V1 and V2m//s...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  5. The relation 3t=sqrt(3x)+6 describes the position of a particle in one...

    Text Solution

    |

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

    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, af...

    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 u(1) and u(2) and travel in a...

    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 = mu s^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 s...

    Text Solution

    |