Home
Class 12
PHYSICS
A particle is moving with velocity v=4t^...

A particle is moving with velocity `v=4t^(3)+3 t^(2)-1 m//s`.
The displacement of particle in time `t=1 s` to `t=2 s` will be

A

21 m

B

17 m

C

13 m

D

9 m

Text Solution

Verified by Experts

The correct Answer is:
A
`int ds = int _(1) ^(2) v dt = int _(1) ^(2) ( 4 t^(2) + 3t^(2)-1) dt `
`s= (t4 + t3-t )_(1) 2=21m`
Promotional Banner

Topper's Solved these Questions

  • NEET DRILL TEST 5

    NEET MAJOR TEST (COACHING)|Exercise PHYSICS|45 Videos

  • NEET MAJOR TEST 9

    NEET MAJOR TEST (COACHING)|Exercise PHYSICS|45 Videos

Similar Questions

Explore conceptually related problems

A particle is moving with a velocity of v=(3+ 6t +9t^2) m/s . Find out (a) the acceleration of the particle at t=3 s. (b) the displacement of the particle in the interval t=5s to t=8 s.

If displacements of a particle varies with time t as s = 1/t^(2) , then.

A particle is moving with velocity v=t^(3)-6t^(2)+4 , where v is in m//s and t is in seconds. At what time will the velocity be maximum//minimum and what is it equal to?

A particle is moving with initial velocity 1m/s and acceleration a=(4t+3)m/s^(2) . Find velocity of particle at t=2sec .

A particle is moving with an intial velocity of 5ms^(-1) . What will be the velocity of the particle at t=3s, if the acceleration of the particle is given by a=16t^(3)-12t^(2)+6t-25

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

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 varies with time as v=4t. Calculate the displacement of particle between t=2 to t=4 sec.

Velocity-time equation of a particle moving in a straight line is, v=(10+2t+3t^2) (SI units) Find (a) displacement of particle from the mean position at time t=1s, if it is given that displacement is 20m at time t=0 . (b) acceleration-time equation.

NEET MAJOR TEST (COACHING)-NEET MAJOR TEST 10-PHYSICS
  1. A block of mass 1 kg is pushed up a surface inclined to horizontal at ...

    Text Solution

    |

  2. A body of uniform cross-sectional area floats in a liquid of density t...

    Text Solution

    |

  3. A particle is moving with velocity v=4t^(3)+3 t^(2)-1 m//s. The disp...

    Text Solution

    |

  4. At a pressure of 24 xx 10^(5) dyne cm^(-2). The volume of O(2) is 10 l...

    Text Solution

    |

  5. In the adjoining figure, the tension in the string connecting A and B ...

    Text Solution

    |

  6. A neutron makes a head-on elastic collision with a stationary deuteron...

    Text Solution

    |

  7. A solenoid of radius R and length L has a current I = I​0 cosωt. The v...

    Text Solution

    |

  8. A straight conductor of mass m and carrying a current i is hinged at o...

    Text Solution

    |

  9. If a body is executing simple harmonic motion, then

    Text Solution

    |

  10. A capacitor of 2 mu F is charged as shown in the diagram. When the swi...

    Text Solution

    |

  11. The angle between two vectors given by 6 hati + 6 hatj - 3 hatk and 7 ...

    Text Solution

    |

  12. A sound source, emitting sound of constant frequency, moves with a con...

    Text Solution

    |

  13. One kilowatt hour is equal to

    Text Solution

    |

  14. A resistor is marked with the rings coloured brown, balck, green, and ...

    Text Solution

    |

  15. A varable force, given by the 2- dimensional vectoroverlineF=(3xx^(2)h...

    Text Solution

    |

  16. The de Broglie wavelength of an electron and the wavelength of a photo...

    Text Solution

    |

  17. We have two spheres, one of which is hollow and the other solid. They ...

    Text Solution

    |

  18. Two waves of same frequency and same amplitude from two monochromatic ...

    Text Solution

    |

  19. In which of the following cases the contact force between A & B is max...

    Text Solution

    |

  20. If a = 8 +- 0.08 and b = 6 +- 0.06, Let x = a + b, y = a – b, z = axxb...

    Text Solution

    |