Home
Class 11
PHYSICS
Motion of particle is given by equation ...

Motion of particle is given by equation
`s=(3t^(3)+7t^(2)+14t+8)m`
The value of acceleration of the particle at t = 1 s is

A

`10m//s^2`

B

`32m//s^2`

C

`23m//s^2

D

`16m//s^2`

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

Motion of a particle is given by equation S = (3t^(3) + 7 t^(2) + 14 + t + 8) m, The value of acceleration of the particle at t = 1 sec, is:

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

The angular displacement of a particle is given by theta =t^3 + t^2 + t +1 then,the angular acceleration of the particle at t=2 sec is ……. rad s^(-2)

The velocity time relation of a particle is given by v = (3t^(2) -2t-1) m//s Calculate the position and acceleration of the particle when velocity of the particle is zero . Given the initial position of the particle is 5m .

the angular velocity omega of a particle varies with time t as omega = 5t^2 + 25 rad/s . the angular acceleration of the particle at t=1 s is

Velocity of a particle is given as v = (2t^(2) - 3)m//s . The acceleration of particle at t = 3s will be :

If the motion of aparticle is governed by the equation, s= 2t^3- 3t^2+ 2t +2 , find the poswition, velocity and acceleration of the particle at time t=2s .

SL ARORA-MECHANICS-Exercise
  1. A particle moves along a straight line AB. At a time t (in seconds) th...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |