Home
Class 12
PHYSICS
A cubical box dimension L = 5//4 m start...

A cubical box dimension `L = 5//4` m starts moving with an acceleration `veca = 0.5 ms^(-2) hati` form the state of rest. At the same time, a stone is thrown form the origin with velocity `vecV = v_1hati + v_2hatj - v_3hatk` with respect to earth. Acceleration due to gravity `vecg = 10ms^(-2)(-hatj)`. The stone just touches the roof of box and finally falls at the diagonally opposite point. then:

A

`v_(1)=3/2`

B

`v_(2)=5`

C

`v_(3)=5/4`

D

`v_(3)=5/2`

Text Solution

Verified by Experts

The correct Answer is:
A, B, C
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

The area of the triangle formed by the adjacent sides with vecA = 3hati + 2hatj - 4 hatk and vecB = -hati + 2hatj + hatk is

Find vecB xx vecA if vecA = 3hati - 2hatj + 6hatk and vecB = hati - hatj + hatk .

A particle moves in plane with acceleration veca = 2hati+2hatj . If vecv=3hati+6hatj , then final velocity of particle at time t=2s is

Find vecA xx vecB if vecA = hati - 2hatj + 4hatk and vecB = 2hati - hatj + 2hatk

A particle is moving with a constant acceleration veca = hati-2hatj+2hatk m//s^(2) and instantaneous velocity vecv = hati+2hatj+2hatk m//s , then rate of change of speed of particle 2 second after this instant will be :

What is the area of the triangle formed by sides vecA = 2hati -3hatj + 4 hatk and vecB= hati - hatk

Area of the parallelogram formed by vectors vecA = hati + 2hatj+ 4 hatk and vecB= 3 hati - 2hatj is :

A body is projected with a velocity vecv =(3hati +4hatj) ms^(-1) The maximum height attained by the body is: (g=10 ms^(-2))

A block of mass m in floating in a river flowing with a velocity of 2m//s .A boat is moving behind the block with a velocity of 5m//s with respect to the block as shown.From the boat a stone is thrown with a velocity vecv=v_(1)hati-v_()hatj+v_(3)hatk with respect to the river such that it hits the block.If v_(1):v_(2):v_(3)=2sqrt3:2:3 then the velocity of the stone with respect to the ground is (g=10m//s^(2))

ALLEN-KINEMATICS-2D-Exercise (O-2)
  1. A particle is moving with a position vector, vec(r)=[a(0) sin (2pi t) ...

    Text Solution

    |

  2. A point mass is moving in the x-y plane. Its acceleration is a constan...

    Text Solution

    |

  3. A ball is thrown from ground such that it just crosses two poles of eq...

    Text Solution

    |

  4. Position vector of a particle is expressed as function of time by equa...

    Text Solution

    |

  5. A projectile is thrown with speed u into air from a point on the horiz...

    Text Solution

    |

  6. A block is thrown with a velocity of 2m//s^(-1) (relative to ground) o...

    Text Solution

    |

  7. A man on a rectilinearly moving cart, facing the direction of motion, ...

    Text Solution

    |

  8. A cubical box dimension L = 5//4 m starts moving with an acceleration ...

    Text Solution

    |

  9. A large rectangular box moves vertically downward with an acceleration...

    Text Solution

    |

  10. In the figure there is a long horizontal bridge over a river 75 m high...

    Text Solution

    |

  11. In the figure there is a long horizontal bridge over a river 75 m high...

    Text Solution

    |

  12. In the figure there is a long horizontal bridge over a river 75 m high...

    Text Solution

    |

  13. From the group level, a ball is to be shot with a certain speed. Graph...

    Text Solution

    |

  14. From the group level, a ball is to be shot with a certain speed. Graph...

    Text Solution

    |

  15. Match the following A particle is projected with initial speed u-...

    Text Solution

    |

  16. Match the following A particle is projected from a large fixed in...

    Text Solution

    |

  17. Match the following In groung to ground projection a particle is ...

    Text Solution

    |

  18. A small ball is prjected along the surface of a smooth inclined plane ...

    Text Solution

    |

  19. Match columns

    Text Solution

    |

  20. A boat is being rowed in a river. Air is also blowing. Direction of ve...

    Text Solution

    |