Home
Class 12
PHYSICS
Velocity of a particle varies as v=2t^3-...

Velocity of a particle varies as `v=2t^3-3t^2` in `(km)/(hr)` If `t=0` is taken at 12:00 noon
Q. Find the expression for the acceleration of the particle.

A

`3t^2+3t`

B

`6t(t-1)`

C

`6t^2+3t`

D

none

Text Solution

Verified by Experts

The correct Answer is:
B

`v=2t^2-3t^2`
`a=(dv)/(dt)=6^2-6t=6t(t_1)`
Promotional Banner

Topper's Solved these Questions

  • CENGAGE PHYSICS DPP

    CENGAGE PHYSICS ENGLISH|Exercise Multiple correct Answer Type|54 Videos
  • CENGAGE PHYSICS DPP

    CENGAGE PHYSICS ENGLISH|Exercise Single Correct Answer type|491 Videos
  • CENGAGE PHYSICS DPP

    CENGAGE PHYSICS ENGLISH|Exercise single correct type|14 Videos
  • CAPACITOR AND CAPACITANCE

    CENGAGE PHYSICS ENGLISH|Exercise Integer|5 Videos
  • COULOMB LAW AND ELECTRIC FIELD

    CENGAGE PHYSICS ENGLISH|Exercise Single Answer Correct Type|22 Videos

Similar Questions

Explore conceptually related problems

Velocity of a particle varies as v=2t^3-3t^2 in (km)/(hr) If t=0 is taken at 12:00 noon Q. What is the velocity of the particle at 12:00 noon?

Velocity of a particle varies as v=2t^3-3t^2 in (km)/(hr) If t=0 is taken at 12:00 noon Q. The time at which speed of the particle is minimum.

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

The position of a particle is expressed as vecr = ( 4t^(2)hati + 2thatj) m. where t is time in second. Find the acceleration of the particle.

The acceleration of particle varies with time as shown. (a) Find an expression for velocity in terms of t. (b) Calculate the displacement of the particle in the interval from t = 2 s to t = 4 s. Assume that v = 0 at t = 0.

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

The velocity of a particle is given by v=(2t^(2)-4t+3)m//s where t is time in seconds. Find its acceleration at t=2 second.

The position of a particle is given by x=2(t-t^(2)) where t is expressed in seconds and x is in metre. The acceleration of the particle is

Velocity (in m/s) of a particle moving along x-axis varies with time as, v= (10+ 5t -t^2) At time t=0, x=0. Find (a) acceleration of particle at t = 2 s and (b) x-coordinate of particle at t=3s

The position x of a particle varies with time t according to the relation x=t^3+3t^2+2t . Find the velocity and acceleration as functions of time.

CENGAGE PHYSICS ENGLISH-CENGAGE PHYSICS DPP-Comprehension Type
  1. If charge flown through a wire is given by q=3sin(3t), then Q. Find ...

    Text Solution

    |

  2. If charge flown through a wire is given by q=3sin(3t), then Q. Find ...

    Text Solution

    |

  3. Velocity of a particle varies as v=2t^3-3t^2 in (km)/(hr) If t=0 is ta...

    Text Solution

    |

  4. Velocity of a particle varies as v=2t^3-3t^2 in (km)/(hr) If t=0 is ta...

    Text Solution

    |

  5. Velocity of a particle varies as v=2t^3-3t^2 in (km)/(hr) If t=0 is ta...

    Text Solution

    |

  6. Velocity of a particle varies as v=2t^3-3t^2 in (km)/(hr) If t=0 is ta...

    Text Solution

    |

  7. If a=(3t^2+2t+1) m/s^2 is the expression according to which the accele...

    Text Solution

    |

  8. If a=(3t^2+2t+1) m/s^2 is the expression according to which the accele...

    Text Solution

    |

  9. If a=(3t^2+2t+1) m/s^2 is the expression according to which the accele...

    Text Solution

    |

  10. A man is standing on top of a building 100 m high. He throws two ball ...

    Text Solution

    |

  11. A man is standing on top of a building 100 m high. He throws two ball ...

    Text Solution

    |

  12. A boy in the elevator shoots a bullet in a vertical upward direction f...

    Text Solution

    |

  13. A boy in the elevator shoots a bullet in a vertical upward direction f...

    Text Solution

    |

  14. A boy in the elevator shoots a bullet in a vertical upward direction f...

    Text Solution

    |

  15. A boy in the elevator shoots a bullet in a vertical upward direction f...

    Text Solution

    |

  16. Points A and C are on the horizontal ground and A and B are in same ve...

    Text Solution

    |

  17. Points A and C are on the horizontal ground and A and B are in same ve...

    Text Solution

    |

  18. Points A and C are on the horizontal ground and A and B are in same ve...

    Text Solution

    |

  19. Two ports, A and B, on a north-south line ar separated by a river of w...

    Text Solution

    |

  20. Two ports, A and B, on a north-south line ar separated by a river of w...

    Text Solution

    |