Home
Class 11
PHYSICS
A particle moves along a staight line su...

A particle moves along a staight line such that its displacement at any time t is given by `s=t^3-6t^2+3t+4m`. Find the velocity when the acceleration is 0.

A

`3m//s`

B

`42m//s`

C

`-9m//s`.

D

`-15 m//s`.

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • MECHANICS

    SL ARORA|Exercise Exercise|341 Videos
  • Mechanical Properties of Solids

    SL ARORA|Exercise Example|113 Videos
  • Motion in a Plane

    SL ARORA|Exercise Excercise|397 Videos

Similar Questions

Explore conceptually related problems

A partical is moving in a straight line such that its displacement at any time t is given by s=4t^(3)+3t^(2) . Find the velocity and acceleration in terms of t.

(a) If the initial velocity of a particle is u and collinear acceleration at any time t is at, calculate the velocity of the particle after time t . (b) A particle moves along a straight line such that its displacement at any time t is given by s = (t^(3) - 6 t^(2) + 3t + 4)m . What is the velocity of the particle when its acceleration is zero?

A particle moves along a straight line such that its displacement s at any time t is given by s=t^3-6t^2+3t+4m , t being is seconds. Find the velocity of the particle when the acceleration is zero.

A particle moves along a straight line such that its displacement at any time t is given by s = 3t^(3)+7t^(2)+14t + 5 . The acceleration of the particle at t = 1s is

A particle moves in a straight line such that the displacement x at any time t is given by x=6t^(2)-t^(3)-3t-4 . X is in m and t is in second calculate the maximum velocity (in ms^(-1)) of the particle.

For a particle moving in a straight line, the displacement of the particle at time t is given by S=t^(3)-6t^(2) +3t+7 What is the velocity of the particle when its acceleration is zero?

A particle moves along x-axis and its displacement at any time is given by x(t) = 2t^(3) -3t^(2) + 4t in SI units. The velocity of the particle when its acceleration is zero is

The displacement of a particle at time t is given by s= 2t^(3) -5t^(2)+ 4t-3 . Find the velocity when t = 2 sec.

The displacement s of a particle at a time t is given bys =t^(3)-4t^(2)-5t. Find its velocity and acceleration at t=2 .

A particle is moving in a straight line such that its distance s at any time t is given by s=(t^(4))/(4)-2t^(3)+4t^(2)-7. Find when its velocity is maximum and acceleration minimum.

SL ARORA-MECHANICS-Exercise
  1. The position x of a particle varies with time t as x=at^(2)-bt^(3). Th...

    Text Solution

    |

  2. Motion of particle is given by equation s=(3t^(3)+7t^(2)+14t+8)m T...

    Text Solution

    |

  3. A particle moves along a staight line such that its displacement at an...

    Text Solution

    |

  4. The motion of a particle along a straight line is described by equatio...

    Text Solution

    |

  5. A particle move a distance x in time t according to equation x = (t + ...

    Text Solution

    |

  6. A particle of unit mass undergoes one-dimensional motion such that its...

    Text Solution

    |

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

    Text Solution

    |

  8. The position x of a particle with respect to time t along x-axis is gi...

    Text Solution

    |

  9. The deceleration exerienced by a moving motor blat, after its engine i...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  12. If a car at rest, accelerates uniformly to a speed of 144 km//h in 20s...

    Text Solution

    |

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

    Text Solution

    |

  14. A car moving with a speed of 40 km//h can be stopped by applying the b...

    Text Solution

    |

  15. A car is moving along a straight road with a uniform acceleration. It ...

    Text Solution

    |

  16. A car accelerates from rest at a constant rate for some time after wh...

    Text Solution

    |

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

    Text Solution

    |

  18. A particle starts its motion from rest under the action of a constant ...

    Text Solution

    |

  19. Find the ratio of the distance moved by a free-falling body from rest ...

    Text Solution

    |

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

    Text Solution

    |