Home
Class 11
PHYSICS
The relation between time t and displace...

The relation between time t and displacement x is `t = alpha x^2 + beta x,` where `alpha and beta` are constants. The retardation is

A

`2 alpha v^(3)`

B

`2 betav^(3)`

C

`2 alpha betav^(3)`

D

`2 beta^(2)v^(3)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • MOTION IN ONE DIMENSION

    ERRORLESS |Exercise Relative Motion|13 Videos

  • MOTION IN ONE DIMENSION

    ERRORLESS |Exercise Motion Under Gravity|81 Videos

  • MOTION IN ONE DIMENSION

    ERRORLESS |Exercise Uniform Motion|24 Videos

  • GRAVITATION

    ERRORLESS |Exercise SET|27 Videos

  • MOTION IN TWO DIMENSION

    ERRORLESS |Exercise Exercise|319 Videos

Similar Questions

Explore conceptually related problems

The relation between time and displacement x is t =alphax^(2) + betax , where alpha and beta are constants. (Take alpha =2 m^(-2) s, beta = 1m^(-1)s)

The instantaneous velocity of a particle moving in a straight line is given as v = alpha t + beta t^2 , where alpha and beta are constants. The distance travelled by the particle between 1s and 2s is :

The workdone by a gas molecule in an isolated system is given by, W = alpha beta^2 e^( - (x^2)/(alpha k T) ) , where x is the displacement, k is the Boltzmann constant and T is the temperature, alpha and beta are constants. Then the dimension of B will be :

A particle starts from rest with acceleration a = alpha t + beta t^2 where alpha and beta are constants. Find its displacement between t = 1 and t= 2 second.

The displacement x of a particle varies with time t as x = ae^(-alpha t) + be^(beta t) . Where a,b, alpha and beta positive constant. The velocity of the particle will.

In a typical combustion engine the work done by a gas molecule is given W=alpha^2betae^((-betax^2)/(kT)) where x is the displacement, k is the Boltzmann constant and T is the temperature. If alpha and beta are constants, dimensions of alpha will be:

A partical moves in a straight line as s=alpha(t-2)^(3)+beta(2t-3)^(4) , where alpha and beta are constants. Find velocity and acceleration as a function of time.

The magnitude of radius vector of a point varies with time as r = beta t ( 1- alpha t) where alpha and beta are positive constant. The distance travelled by this body over a closed path must be

Two waves travelling in a medium in the x-direction are represented by y_(1) = A sin (alpha t - beta x) and y_(2) = A cos (beta x + alpha t - (pi)/(4)) , where y_(1) and y_(2) are the displacements of the particles of the medium t is time and alpha and beta constants. The two have different :-

ERRORLESS -MOTION IN ONE DIMENSION-Non-uniform Motion
  1. A body under the action of several forces will have zero acceleration

    Text Solution

    |

  2. A body starts from the origin and moves along the X-axis such that the...

    Text Solution

    |

  3. The relation between time t and displacement x is t = alpha x^2 + beta...

    Text Solution

    |

  4. A point moves with uniform acceleration and v(1), v(2), and v(3) denot...

    Text Solution

    |

  5. The acceleration of a moving body can be found from

    Text Solution

    |

  6. The initial velocity of a particle is u (at t =0) and the acceleration...

    Text Solution

    |

  7. The initial velocity of the particle is 10m//sec and its retardation i...

    Text Solution

    |

  8. A motor car moving with a uniform speed of 20 m//sec comes to stop on...

    Text Solution

    |

  9. The velocity of a body moving with a uniform acceleration of 2m//sec^(...

    Text Solution

    |

  10. A particle starting from rest travels a distance x in first 2 seconds ...

    Text Solution

    |

  11. The initial velocity of a body moving along a straight lines is 7m//s....

    Text Solution

    |

  12. The velocity fo a body depends on time according to equation, v= 2.0 ...

    Text Solution

    |

  13. Which of the following four statements is false

    Text Solution

    |

  14. A particle moving with a uniform acceleration travels 24m and 64m ...

    Text Solution

    |

  15. The position of a particle moving in the xy plane at any time t is giv...

    Text Solution

    |

  16. If body having initial velocity zero is moving with uniform accelerati...

    Text Solution

    |

  17. An alpha particle enters a hollow tube of 4m length with an initial sp...

    Text Solution

    |

  18. Two car A and B travelling in the same direction with velocities v1 an...

    Text Solution

    |

  19. An object of mass 10 kg is moving with an initial velocity of 10 m s^(...

    Text Solution

    |

  20. A body starts from rest from the origin with an acceleration of 6m//s^...

    Text Solution

    |