Home
Class 11
PHYSICS
The velocity of a particle is given by v...

The velocity of a particle is given by `v=12+3(t+7t^2)`. What is the acceleration of the particle?

Text Solution

Verified by Experts

`v=12+3(t+7t^2)=12+3t+21t^2` `a=(dv)/(dt)=3+42t`
Promotional Banner

Topper's Solved these Questions

  • BASIC MATHEMATICS

    CENGAGE PHYSICS|Exercise Exercise 2.5|2 Videos

  • ARCHIVES 2 VOLUME 6

    CENGAGE PHYSICS|Exercise Integer|4 Videos

  • CALORIMETRY

    CENGAGE PHYSICS|Exercise Solved Example|13 Videos

Similar Questions

Explore conceptually related problems

If velocity of a particle is given by v=2t^(2)-2 then find the acceleration of particle at t = 2 s.

If velcotiy of a particle is given by v=2t-1 then find the acceleration of particle at t = 2s.

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

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 of a moving particle is given by the equation v = (5 - t^(2)) The average acceleration of the particle between the 2nd and 3rd seconds is

If the velocity of the a particle moving on x-axis is given by v=3t^(2)-12 t +6. at what time is the acceleration of particle 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

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?

CENGAGE PHYSICS-BASIC MATHEMATICS-Exercise 2.6
  1. The displacement of a particle is given by y=(6t^2+3t+4)m, where t is ...

    Text Solution

    |

  2. The velocity of a particle is given by v=12+3(t+7t^2). What is the acc...

    Text Solution

    |

  3. A particle starts from origin with uniform acceleration. Its displacem...

    Text Solution

    |

  4. The acceleration of a particle is given by a=t^3-3t^2+5, where a is in...

    Text Solution

    |

  5. A particle starts moving along the x-axis from t=0, its position varyi...

    Text Solution

    |

  6. A particle moves along the x-axis obeying the equation x=t(t-1)(t-2), ...

    Text Solution

    |

  7. The speed of a car increases uniformly from zero to 10ms^-1 in 2s and ...

    Text Solution

    |

  8. A car accelerates from rest with 2ms^-2 for 2s and then decelerates co...

    Text Solution

    |

  9. A stationary particle of mass m=1.5kg is acted upon by a variable forc...

    Text Solution

    |

  10. The displacement of a body at any time t after starting is given by s=...

    Text Solution

    |

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

    Text Solution

    |

  12. The displacement x of a particle moving in one dimension under the act...

    Text Solution

    |

  13. The position x of a particle varies with time t according to the relat...

    Text Solution

    |

  14. The displacement of a particle along the x-axis is given by x=3+8t+7t^...

    Text Solution

    |

  15. The acceleration a in ms^-2 of a particle is given by a=3t^2+2t+2, whe...

    Text Solution

    |

  16. The displacement x of a particle along the x-axis at time t is given b...

    Text Solution

    |

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

    Text Solution

    |

  18. The acceleration of a bus is given by ax(t)=at, where a=1.2ms^-2. a....

    Text Solution

    |

  19. The acceleration of a motorcycle is given by ax(t)=At-Bt^2, where A=1....

    Text Solution

    |

  20. The acceleration of a particle varies with time t seconds according to...

    Text Solution

    |