Home
Class 11
PHYSICS
A particle moves along a straight line r...

A particle moves along a straight line retardation a = `ksqrt(v)` [ k is a positive constant ]. The velocity of the particle at time t = 0 is u. How far would the particle move before coming to rest ?

Text Solution

Verified by Experts

The correct Answer is:
`(2)/(3k)usqrt(u);(2)/(k)sqrt(u)`
Promotional Banner

Topper's Solved these Questions

  • ONE - DIMENSIONAL MOTION

    CHHAYA PUBLICATION|Exercise Problem Set - II (Based on Vertical Motion )|9 Videos
  • ONE - DIMENSIONAL MOTION

    CHHAYA PUBLICATION|Exercise Problem Set - II ( Miscellaneous)|6 Videos
  • ONE - DIMENSIONAL MOTION

    CHHAYA PUBLICATION|Exercise Problem Set - II (Based on Speed, Velocity and Acceleration )|4 Videos
  • NEWTONIAN GRAVITATION AND PLANETARY MOTION

    CHHAYA PUBLICATION|Exercise CBSE SCANNER|19 Videos
  • QUESTION PAPERS OF NEET -2017

    CHHAYA PUBLICATION|Exercise QUESTION|32 Videos

Similar Questions

Explore conceptually related problems

The retardation alpha of a particle in rectilinear motion is proportional to the square root of its velocity v. Assume that the constant A of proportionality is positive. The initial velocity of the particle is v_(0) . How far would the particle move before coming to rest? What would be the time required to travel that distance?

A particle moves along a straight line with a retardations of av^(n+1) , where v is the velocity at time t and a is a positive constant. If at t = 0 the velocity of the particle is u, show that at = (1)/(n)((1)/(v^(n))-(1)/(u^(n))).

The velocity of a particle moving along the positive direction of x-axis is v= Asqrt(x) , where A is a positive constant. At time t = 0 , the displacement of the particle is taken as x = 0 . (i) Express velocity and acceleration as functions of time , and (ii) find out the average velocity of the particle in the period when it travels through a distance s ?

The acceleration of a particle moving along a straight line is (6t^(2)-3t)cm//s^(2) , at time t seconds. If the velocity of the particel at time 2 seconds be 10cm/s, find its velocity at time t seconds.

CHHAYA PUBLICATION-ONE - DIMENSIONAL MOTION -Problem Set - II (Based on Rectilinear Motion )
  1. An object, starting with an initial speed and moving at constant accel...

    Text Solution

    |

  2. A train begins its journey from a station with a uniform acceleration ...

    Text Solution

    |

  3. An object moving with a constant acceleration covers 145 cm and 185cm,...

    Text Solution

    |

  4. A policeman starts chasing a thief with a uniform velocity V along a s...

    Text Solution

    |

  5. When a train start from rest with a uniform acceleration of 2 "m.s"^(-...

    Text Solution

    |

  6. Two particles start moving from point A along a straight line AB at th...

    Text Solution

    |

  7. Car A moving along a straight horizontal road with a velocity 60 "km.h...

    Text Solution

    |

  8. A partical covers 35 cm, 50 cm, 89 cm distances during the third, seve...

    Text Solution

    |

  9. A jet pIane starts from rest with an acceleration of 3 "m.s"^(-2), and...

    Text Solution

    |

  10. A partical is subjected to an acceleration a= alpha t^(1) + beta t^(2)...

    Text Solution

    |

  11. A body traveIs 400 cm in the 3rd second and 1200 cm in the 5th second....

    Text Solution

    |

  12. The displacement x of a particle in rectilinear motion at time t is re...

    Text Solution

    |

  13. A particle moves along a straight line retardation a = ksqrt(v) [ k is...

    Text Solution

    |

  14. A particle is moving along a straight line OX. The displacement (x) fr...

    Text Solution

    |

  15. A train of length 200 m is moving with uniform acceleration. It front ...

    Text Solution

    |

  16. A car starts from rest and travels with uniform acceleration alpha for...

    Text Solution

    |

  17. On a two-lane car A is travelling with a speed of 36 "km.h"^(-1) . Two...

    Text Solution

    |