Home
Class 11
PHYSICS
The deceleration exerienced by a moving ...

The deceleration exerienced by a moving motor blat, after its engine is cut-off is given by `dv//dt=-kv^(3)`, where `k` is constant. If `v_(0)` is the magnitude of the velocity at cut-off, the magnitude of the velocity at a time `t` after the cut-off is.

A

`v_(0)/(sqrt((2v_(0).^(2)kt+1)))`

B

`v_(0)e^(-kt)`

C

`v_(0)//2`

D

`v_(0)`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • MOTION IN A PLANE

    DISHA|Exercise PHYSICS|45 Videos
  • MOVING CHARGES AND MAGNETISM

    DISHA|Exercise PHYSICS|40 Videos

Similar Questions

Explore conceptually related problems

The retadation experienced by a moving motor boat after its, engine is cutoff at the instant t is given by a=-kv^4,where k is is a constant. If v_0 is the magnitude of velocity at the cutoff, find the magnitude of velocity at time t after the cutoff.

The retardation experienced by a movign motr bat after its engine is cut-off , at the instant (t) is given by , =-k v^4 , where (k) is a constant. If v_0 is the magnitude of velocity at the cut-off , the magnitude fo velocity at time (t) after the cut-off is .

The acceleration. If v_(0) is themagnitude the engine is cut off, is given by (dv)/(dt) =- k v^(2) , wher (k) is a constant. If v_(0) is the magnitude of the velocity at cut off, find the magnitude of the velocity at time (t0 after the cut off.

A steamboat is moving at velocity v_0 when steam is shut off. It is given that the retardation at any subsequent time is equal to the magnitude of the velocity at that time. Find the velocity and distance travelled in time t after the steam is shut off.

A particle in moving in a straight line such that its velocity is given by v=12t-3t^(2) , where v is in m//s and t is in seconds. If at =0, the particle is at the origin, find the velocity at t=3 s .

A box is thrown with velocity v_(0) on top of a rough table of length l . Assume friction on the object is such that during its motion, its acceleration is given as a = -kv , where k is a positive constant. Find the velocity of the box when it leaves the edge of the table. Also find the time after which it falls off the edge.

A particle is projected with a speed v and an angle theta to the horizontal. After a time t, the magnitude of the instantaneous velocity is equal to the magnitude of the average velocity from 0 to t. Find t.

A particle is moving with a constant speed v in a circle. What is the magnitude of average velocity after half rotation?

The acceleration (a) of an object varies as a function of its velocity (v) as a=lambda sqrt(v) where lambda is a constant.If at t=0,v=0, then the velocity as a function of time (t) is given as

DISHA-MOTION IN A STRAIGHT LINE-physics
  1. The displacement x of a particle varies with time according to the rel...

    Text Solution

    |

  2. metro train starts from rest and in five seconds achieves a speed 108 ...

    Text Solution

    |

  3. The deceleration exerienced by a moving motor blat, after its engine i...

    Text Solution

    |

  4. The velocity of a particle is v = v(0) + g t + ft^(2). If its position...

    Text Solution

    |

  5. A man is 45 m behind the bus when the bus starts acceleration from res...

    Text Solution

    |

  6. A body is at rest at x =0 . At t = 0, it starts moving in the posi...

    Text Solution

    |

  7. From the top of a multi-storeyed building 40m tall, a boy projects a s...

    Text Solution

    |

  8. Two bodies begin to fall freely from the same height but the second fa...

    Text Solution

    |

  9. Let A, B, C, D be points on a vertical line such that AB = BC = CD. If...

    Text Solution

    |

  10. Water drops fall at regular intervals from a tap 5 m above the ground....

    Text Solution

    |

  11. The displacement 'x' (in meter) of a particle of mass 'm' (in kg) movi...

    Text Solution

    |

  12. A body moving with a uniform acceleration crosses a distance of 65 m i...

    Text Solution

    |

  13. An automobile travelling with a speed 60 km//h , can brake to stop wi...

    Text Solution

    |

  14. A particle accelerates from rest at a constant rate for some time and ...

    Text Solution

    |

  15. The equation represented by the graph below is :

    Text Solution

    |

  16. A particle move a distance x in time t according to equation x = (t + ...

    Text Solution

    |

  17. A particle when thrown, moves such that it passes from same height at ...

    Text Solution

    |

  18. The distance through which a body falls in the nth second is h. The di...

    Text Solution

    |

  19. A stone is thrown vertically upwards with an initial speed u from the ...

    Text Solution

    |

  20. A particle moves along a straight line OX. At a time t (in seconds) th...

    Text Solution

    |