Home
Class 11
PHYSICS
A particle exceutes the motion describes...

A particle exceutes the motion describes by
`x(t)=x_(0)(1-e^(-gammat)),tge0,x_(0)0`.
The maximum and minimum values of `v(t)` are

A

`x_(0)` and `0`

B

`x_(0)gamma` and 0

C

0 and `-x_(0)gamma^(2)`

D

`x_(0)^(1+e^(-gamma))`

Text Solution

Verified by Experts

The correct Answer is:
B
`x(t)=x_(0)(1-e^(-gammat))`
`v(t)=(dx(t))/(dt)=x_(0)gammae^(-gammat)`
`a(t)=(dv(t))/(dt)=-x_(0)gamma^(2)e^(-gammat)`
Promotional Banner

Topper's Solved these Questions

  • MOTION IN A STRAIGHT LINE

    NARAYNA|Exercise Multiple Answer Question|22 Videos

  • MOTION IN A STRAIGHT LINE

    NARAYNA|Exercise Integer Type Question|13 Videos

  • MOTION IN A STRAIGHT LINE

    NARAYNA|Exercise More than One Option Question|7 Videos

  • MOTION IN A PLANE

    NARAYNA|Exercise Level-II(H.W)|31 Videos

  • NEWTONS LAWS OF MOTION

    NARAYNA|Exercise PASSAGE TYPE QUESTION|6 Videos

Similar Questions

Explore conceptually related problems

A particle executes the motion described by x (t) =x_(0) (w-e^(gamma t) , t gt- 0, x_0 gt 0 . (a) Where does the particle start and with what velocity ? (b) Find maximum and minimum values of x (t0 , a (t). Show that x (t) and a (t0 increase with time and v (t) decreases with time.

The position x of a particle at time t is given by x=(V_(0))/(a)(1-e^(-at)) , where V_(0) is constant and a gt 0 . The dimensions of V_(0) and a are

If f(x)=int_(0)^(1)e^(|t-x|)dt where (0<=x<=1) then maximum value of f(x) is

The position of a particle at time t is given by the relation x(t)=(v_(0)/alpha)(1-e^(-alphat)) where v_(0) is a constant and alpha gt 0 . Find the dimensions of v_(0) and alpha

The positive of a particle at time t is given by the relation x(t)=((v_(0))/(alpha))(1-c^(-alphat)) , where v_(0) is a constant and alpha gt 0 The dimensions of v_(0) and alpha are respectively

The position of a particle at time t, is given by the equation, x(t) = (v_(0))/(alpha)(1-e^(-alpha t)) , where v_(0) is a constant and alpha gt 0 . The dimensions of v_(0) & alpha are respectively.

The motion of a particle is described by x = x_o(1 - e^(-kt)) ,, t ge , x_o gt0, k gt 0. With what velocity does the particle start?

The position of a particle at time t is given by the relation x(t) = ( v_(0) /( alpha)) ( 1 - c^(-at)) , where v_(0) is a constant and alpha gt 0 . Find the dimensions of v_(0) and alpha .

NARAYNA-MOTION IN A STRAIGHT LINE-Passage Type Questions
  1. A monkey climbs up a slippery pole for 3 seconds and subsequently sli...

    Text Solution

    |

  2. A monkey climbs up a slippery pole for 3 seconds and subsequently sli...

    Text Solution

    |

  3. A monkey climbs up a slippery pole for 3 seconds and subsequently sli...

    Text Solution

    |

  4. A monkey climbs up a slippery pole for 3 seconds and subsequently sli...

    Text Solution

    |

  5. A particle executes the motion described by x (t)=x(0) (1-e^(-gamma t)...

    Text Solution

    |

  6. A particle executes the motion described by x (t)=x(0) (1-e^(-gamma t)...

    Text Solution

    |

  7. A particle executes the motion described by x (t)=x(0) (1-e^(-gamma t)...

    Text Solution

    |

  8. A particle exceutes the motion describes by x(t)=x(0)(1-e^(-gammat))...

    Text Solution

    |

  9. A particle executes the motion described by x (t)=x(0) (1-e^(-gamma t)...

    Text Solution

    |

  10. A train starts from rest with constant acceleration a=1 m//s^(2) A pas...

    Text Solution

    |

  11. A train starts from rest with constant acceleration a=1 m//s^(2) A pas...

    Text Solution

    |

  12. A train starts from rest with constant acceleration a=1 m//s^(2) A pas...

    Text Solution

    |

  13. A body is moving with uniform velocity of 8 ms^-1. When the body just ...

    Text Solution

    |

  14. A body is moving with uniform velocity of 8 m s^(-1). When the body ju...

    Text Solution

    |

  15. Study the following graph: The particle is moving with constant ...

    Text Solution

    |

  16. Study the following graph: The particle has negative acceletation...

    Text Solution

    |