Home
Class 12
PHYSICS
A particle starts moving rectilinearly a...

A particle starts moving rectilinearly at time t = 0 such that its velocity v changes with time t according to the equation `v = t^2-t`, where t is in seconds and v is in `m s^(-1)`. The time interval for which the particle retrads (i.e., magnitude of velocity decreases)is

A

`t lt 1//2`

B

`1//2 lt t lt 1`

C

`t gt 1`

D

`t lt 1//2 and t gt 1`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • KINEMATICS

    MOTION|Exercise EXERCISE 2 OBJECTIVE PROBLEMS (Level-2)|26 Videos
  • KINEMATICS

    MOTION|Exercise EXERCISE 3 SUBJECTIVE PROBLEMS (Level-1)|20 Videos
  • KINEMATICS

    MOTION|Exercise EXERCISE 1 OBJECTIVE PROBLEMS|103 Videos
  • HYDROSTATIC, FLUID MECHANICS & VISCOSITY

    MOTION|Exercise EXERCISE -3 (SECTION-B) PREVIOUS YEAR PROBLEM|7 Videos
  • KINETIC THEORY OF GASES

    MOTION|Exercise EXERCISE-3 SECTION-B|16 Videos

Similar Questions

Explore conceptually related problems

A particle starts moving rectilinearly at time t=0 such that its velocity v changes with time t according to the equation v=t^(2)-t , where t is in seconds and v in s^(-1) . Find the time interval for which the particle retards.

A particle starts moving rectillineraly at time t = 0 , such that its velocity 'v' changes with time 't' according to the equation v = t^(2) -t where t is in seconds and v is in m//s . The time interval for which the particle retards is

A particle starts moving rectilinearly at time t = 0 such that its velocity(v) changes with time (t) as per equation – v = (t2 – 2t) m//s for 0 lt t lt 2 s = (–t^(2) + 6t – 8) m//s for 2 le te 4 s (a) Find the interval of time between t = 0 and t = 4 s when particle is retarding. (b) Find the maximum speed of the particle in the interval 0 le t le 4 s .

A particle moving in a straight line has its velocit varying with time according to relation v = t^(2) - 6t +8 (m//s) where t is in seconds. The CORRECT statement(s) about motion of this particle is/are:-

A particle starts from rest with a time varying acceleration a=(2t-4) . Here t is in second and a in m//s^(2) The velocity time graph of the particle is

A particle moves in a circle of radius 20 cm . Its linear speed is given by v = 2t where t is in seconds and v in m s^-1 . Then

Velocity of a particle of mass 2kg varies with time t according to the equation vec(v)=(2thati+4hatj) m//s . Here t is in seconds. Find the impulse imparted to the particle in the time interval from t=0 to t=2s.

A particle is moving along x-axis such that its velocity varies with time according to v=(3m//s^(2))t-(2m//s^(3))t^(2) . Find the velocity at t = 1 s and average velocity of the particle for the interval t = 0 to t = 5 s.

The velocity 'v' of a particle moving along straight line is given in terms of time t as v=3(t^(2)-t) where t is in seconds and v is in m//s . The distance travelled by particle from t=0 to t=2 seconds is :

A particle moves on x-axis with a velocity which depends on time as per equation v=t^(2)-8t+15(m//s) where time t is in seconds. Match the columns.

MOTION-KINEMATICS-EXERCISE 2 OBJECTIVE PROBLEMS
  1. A body of mass 1 kg is acted upon by a force vecF=2sin3pithati+3cos3pi...

    Text Solution

    |

  2. A force F = Be^(Ct) acts on a particle whose mass is m and whose veloc...

    Text Solution

    |

  3. A particle starts moving rectilinearly at time t = 0 such that its vel...

    Text Solution

    |

  4. If a point moves in a straigth line in such a manner that its retardat...

    Text Solution

    |

  5. Initially car A is 10.5 m ahead of car B. Both start moving at time t ...

    Text Solution

    |

  6. Statement-I : A particle moves in a straight line with constant accele...

    Text Solution

    |

  7. Assertion: For a particle moving in a straight line velocity (v in m//...

    Text Solution

    |

  8. A particle moves along x-axis and its acceleration at any time t is a ...

    Text Solution

    |

  9. A particle moves along x-axis and its acceleration at any time t is a ...

    Text Solution

    |

  10. A particle moves along x-axis and its acceleration at any time t is a ...

    Text Solution

    |

  11. A particle moves along x-axis and its acceleration at any time t is a ...

    Text Solution

    |

  12. A point mass is projected, making an acute angle with the horizontal. ...

    Text Solution

    |

  13. A projectile is thorwn with a velocity of 50ms^(-1) at an angle of 53^...

    Text Solution

    |

  14. A projectile is thorwn with a velocity of 50ms^(-1) at an angle of 53^...

    Text Solution

    |

  15. A projectile is thorwn with a velocity of 50ms^(-1) at an angle of 63^...

    Text Solution

    |

  16. A particle is projected form a horizontal plane (x-z plane) such that ...

    Text Solution

    |

  17. A ball is thrown form a point on a ground at some angle of projection....

    Text Solution

    |

  18. A projectile is fired with a speed u at an angle theta with the horizo...

    Text Solution

    |

  19. At t=0 a projectile is fired from a point O (taken as origin) on the g...

    Text Solution

    |

  20. At t=0 a projectile is fired from a point O (taken as origin) on the g...

    Text Solution

    |