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|Exercise single correct type|14 Videos

  • CENGAGE PHYSICS DPP

    CENGAGE PHYSICS|Exercise subjective type|51 Videos

  • CENGAGE PHYSICS DPP

    CENGAGE PHYSICS|Exercise Fill in the blanks type|26 Videos

  • CAPACITOR AND CAPACITANCE

    CENGAGE PHYSICS|Exercise Integer|5 Videos

  • CENTRE OF MASS CONVERSATION OF MOMENTUM AND COLLISION

    CENGAGE PHYSICS|Exercise Question Bank|38 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.

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 time between 12:00 noon and 1:00 pm which speed is maximum

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

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 .

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

The displacement x of a particle varies with time t as x=4t^(2)-15t+25 Find the position, velocity and acceleration of the particle at t=0. When will the velocity of the particle become zero? Can we call the motion of the particle as one with uniform acceleration ?

Velocity vector of a particle is given as vecv=4thati+3hatj At t=0 position of the particle is given as vecr_(0)=2hatj Find the position vector of the particle at t=2 sec and te average acceleration of the particle for t=0 to t=2sec.

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.

CENGAGE PHYSICS-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

    |