Home
Class 12
PHYSICS
The displacement x of a particle varies ...

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.

A

(a) Go on decreasing with time

B

(b) Be independent of `alpha and beta`

C

(c) Drop to zero when `alpha = beta`

D

(d) Go on increasing with time

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

If the displacement of a particle varies with time as sqrt x = t+ 3

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

The displacement x of a particle varies with time as x=a e^(alphat)+be^(betat) where a,b,a, beta are constants and are positives. The velocity of the particle will:

The displacement (x) of particle depends on time (t) as x = alpha t^(2) - beta t^(3) .

If the displacement of a particle varies with time as sqrt(x) = t + 7 . The -

A particle of unit mass is moving along x-axis. The velocity of particle varies with position x as v(x). =alphax^-beta (where alpha and beta are positive constants and x>0 ). The acceleration of the particle as a function of x is given as

Displacement (x) of a particle is related to time (t) as x = at + b t^(2) - c t^(3) where a,b and c are constant of the motion. The velocity of the particle when its acceleration is zero is given by:

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 ?

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 :

DISHA-MOTION IN A STRAIGHT LINE-Physics
  1. A body A moves with a uniform acceleration a and zero initial velocity...

    Text Solution

    |

  2. A particle moves along x-axis as x=4(t-2)+a(t-2)^2 Which of the foll...

    Text Solution

    |

  3. The displacement x of a particle varies with time t as x = ae^(-alpha ...

    Text Solution

    |

  4. A particle moves as such acceleration is given by a = 3 sin 4t, then :

    Text Solution

    |

  5. A reference frame attached to the earth

    Text Solution

    |

  6. If a particle travels a linear distance at speed v(1) and comes back a...

    Text Solution

    |

  7. The distance travelled (in meters) by the particle from time to t = 0 ...

    Text Solution

    |

  8. The distance travelled (in meters) by the particle from time t = 0 to ...

    Text Solution

    |

  9. The magnitude of displacement (in meters) by the particle from time t ...

    Text Solution

    |

  10. Statement-1 : The position-time graph of a uniform motion in one dimen...

    Text Solution

    |

  11. Assertion: A body having non zero acceleration can have a constant vel...

    Text Solution

    |

  12. Assertion: Displacement of a body may be zero when distance travelled ...

    Text Solution

    |

  13. A stone dropped from a building of height h and it reaches after t sec...

    Text Solution

    |

  14. A ball is projected upwards from a height h above the surface of the e...

    Text Solution

    |

  15. A man throws ball with the same speed vertically upwards one after the...

    Text Solution

    |

  16. If a ball is thrown vertically upwards with speed u, the distance cove...

    Text Solution

    |

  17. A ball is thrown vertically upwards. Which of the following graph/grap...

    Text Solution

    |

  18. A ball is dropped vertically from a height d above the ground . It hit...

    Text Solution

    |

  19. P, Q and R are three balloons ascending with velocities U, 4U and 8U r...

    Text Solution

    |

  20. A body is projected up with a speed u and the time taken by it is T to...

    Text Solution

    |