Home
Class 12
PHYSICS
The acceleration of a particle moving in...

The acceleration of a particle moving in straight line is defined by the relation `a= -4x(-1+(1)/(4)x^(2))`, where a is acceleration in `m//s^(2)` and `x` is position in meter. If velocity `v = 17 m//s` when `x = 0`, then the velocity of the particle when `x = 4` meter is :

A

12 m/s

B

15 m/s

C

20 m/s

D

25 m/s

Text Solution

Verified by Experts

The correct Answer is:
C

With respect to piont P net angular momentum must be anticlockwise.
`(mR^(2))/(2)omega_(0)gtmV_(0)Rimpliesomega_(0)Rgt2V_(0)`
Promotional Banner

Topper's Solved these Questions

  • REVIEW TEST

    VIBRANT|Exercise PART - II : PHYSICS|262 Videos

  • TEST PAPERS

    VIBRANT|Exercise PART - II : PHYSICS|56 Videos

Similar Questions

Explore conceptually related problems

The displacement of a particle moving in a straight line is given by s=t^(3)-6t^(2)+3t+4 meters.The velocity when acceleration is zero is "

The motion of a particle along a straight line is described by the function x=(2t -3)^2, where x is in metres and t is in seconds. Find (a) the position, velocity and acceleration at t=2 s. (b) the velocity of the particle at the origin .

The acceleration of a particle is given by the relation as a = -kv^(5//2) , where is a constant. The particle starts at x=0 with a velocity of 16 m/s, and when x = 6, the velocity is observed to be 4 m/s. Find the velocity of particle when x=5m and the time at which the velocity ofthe particle is 9 m/s.

Acceleration of a particle moving along the x-axis is defined by the law a=-4x , where a is in m//s^(2) and x is in meters. At the instant t=0 , the particle passes the origin with a velocity of 2 m//s moving in the positive x-direction. (a) Find its velocity v as function of its position coordinates. (b) find its position x as function of time t. (c) Find the maximum distance it can go away from the origin.

A particle moves in a straight line as s =alpha(t-4)+beta(t-4)^(2) . Find the initial velocity and acceleration.

The position of an object moving on a straight line is defined by the relation x=t^(3)-2t^(2)-4t , where x is expressed in meter and t in second. Determine (a) the average velocity during the interval of 1 second to 4 second. (b) the velocity at t = 1 s and t = 4 s, (c) the average acceleration during the interval of 1 second to 4 second. (d) the acceleration at t = 4 s and

A particle moves in a straight line obeying the relation x= t(t-1) where x= displacement in m and t= time in sec.Find the velocity of the particle when its displacement is zero.

The velocity –position graph of a particle moving along a straight line is shown. Then acceleration of the particle at s = 15 m is :

The motion of a particle along a straight line is described by the equation: x=8+12t-t^(3) , where x is inmeter and t in second. (i) the initial velocity of particle is 12 m//s (ii) the retardation of particle when velocity is zero is 12 m//s^(2) (iii) when acceleration is zero, displacement is 8 m the maximum velocity of particle is 12 m//s

The velocity-position graph of a particle moving in a straight line along x -axis is givenbelow.Acceleration of particle,at x=2m is

VIBRANT-REVIEW TEST-PART - II : PHYSICS
  1. In the arrangement shown in the figure pulleys are small, light and fr...

    Text Solution

    |

  2. A small hoop of mass m is given an initial velocity of magnitude v(0) ...

    Text Solution

    |

  3. The acceleration of a particle moving in straight line is defined by t...

    Text Solution

    |

  4. A particle leaves the origin at t = 0 with an intial velocity vec(V)=3...

    Text Solution

    |

  5. A uniform disc of mass m and radius R is released gentiy on a horizont...

    Text Solution

    |

  6. A person throws a ball in vertical plane such that velocity of ball al...

    Text Solution

    |

  7. A uniform rod of mass M and length L is moving on a smooth horizontal ...

    Text Solution

    |

  8. A long horizontal plank of mass m is lying on a smooth horizontal surf...

    Text Solution

    |

  9. A long horizontal plank of mass m is lying on a smooth horizontal surf...

    Text Solution

    |

  10. A long horizontal plank of mass m is lying on a smooth horizontal surf...

    Text Solution

    |

  11. A small block of mass m is pushed on a smooth track from position A wi...

    Text Solution

    |

  12. A small block of mass m is pushed on a smooth track from position A wi...

    Text Solution

    |

  13. A small block of mass m is pushed on a smooth track from position A wi...

    Text Solution

    |

  14. Two uniform spheres A and B of same radius are in gravity free space. ...

    Text Solution

    |

  15. Two forces F(1) and F(2) are acting on the system according to figure....

    Text Solution

    |

  16. A particle starts from rest from the top of an inclined plane and agai...

    Text Solution

    |

  17. A conical flask of mass 10 kg and base area 10^(3)cm^(2) is floating i...

    Text Solution

    |

  18. A block of mass 1 kg is released on wedge from position M as shown in ...

    Text Solution

    |

  19. A tank is filled by water (rho = 10^3 kg//m^3). A small hole is made i...

    Text Solution

    |

  20. A particle is projected with speed v = sqrt(150)m//s from the horizont...

    Text Solution

    |